So I kinda want to expand on my Yang post from earlier:
I see a lot of people saying Yang doesn't want to be coddled, needed a kick in the pants, ETC and while that is a valid interpretation if not one I agree with or am comfortable with, here is my take on her & Blake's situation right now.
Yang has had to be the strong one for a long time, since she was like, four, she kept the family together when it was falling apart, Tai was either shut down or at work and it doesn't seem like anyone ever told her she can, well, stop., or that she ever felt she could. Even in V1 she's still very much a mom-ish character to Ruby and based on the Yellow Trailer seems disinclined to discuss or get others involved in her search for Raven. She also let her walls down to Blake to help Blake deal with her own problems and the two grew closer from that and it ultimately helped Blake a great deal.
When Beacon Falls and Ruby spoke to Yang, I think it is very interesting to note her arm didn't even come up. Seriously, she mentions their adopted home falling, Penny, Pyrrha but not her arm and only tears up in regards to Blake before either consciously or subconsciously closing off with anger, likely as a defense mechanism.
We see her only loosely allude to Beacon and all it cost her in one conversation with Tai, and that was an argument, we never actually see Yang cry, or grieve, or talk about what happened in a way that might be deemed healthy until V5. The response she got from Tai also I feel says a lot about that "Never able to stop being the strong one" thing. Remember, in response to Yang seemingly bringing up her lost arm he said "But that doesn't have to stop you from being who you want to be. So whenever you're ready to stop moping around, I'll be there for you."
Take it as you desire, but given his main offered help was the prosthetic and helping Yang fight & he just walked away when she had a panic attack... Yeah I get the impression Yang has not actually vented or properly even processed what happened at Beacon. Al his help was conditional and based around getting Yang back into the action and given she's still literally seeing things, having nightmares and panic attacks, I'd argue she was not ready to return to action, we see her decide to put the prosthetic on with a sad, guilty expression, not a triumphant or hopefully one.
She maintains her chipper attitude as much as she can when reuniting with everyone but before seeing them she's a lot more dour, closed off and lethargic. Leading me to think this if more a mask for everyone else's benefit than a true sign of her having healed. It' only when Blake comes up and someone actually engages with and tries to offer both comfort and explanations that Yang starts really expressing her sadness and not closing it off, but processing it.
Compare htis to Ruby who was asking Yang what to do or insisting there must be a reason Blake left right when the wound was still fresh, Yang wasn't in a fit state to discuss the matter at that point or offer Ruby the guidance/support she needed because she needed it as well. Ruby did offer the hug and I love you, not denying it, just noting that time and Weiss's more clearly definite suggestive support (IE, offering explanations for Blake over just insistence, helped Yang deal and as noted, Yang let her walls down. That is to say, Yang showed vulnerability, sadness, weakness and pain in that discussion with no shame or anger.
This is why I don't think Yang's anger come from Blake offering to protect her and that hurting her pride or making her feel coddled. Especially when you consider what Yang said about Blake, and how she both wanted to be there for Blake, but also that she needed Blake there for her. That is a pretty big admission there from someone who's always had to keep things together and I think also indicates that yes, she did want Blake to be there to support, comfort and aid in her recovery. She also wanted to offer the same to Blake so maybe an essence of "I want to be there for you two" comes into it with Blake's offer of protection, but I do not think that alone would cause anger in Yang.
Ultimately, given Yang is still seeing flashes of Adam, given just how angry she is now compared to earlier seasons, how she was rather than angry at Blake when Blake offered help with her bag but just sort of down beat and given what she said, my thinking is this.
Firstly, Yang was not ready to return to the fight, she hasn't discussed or processed much at all of what came at Beacon and has had no solid recovery beyond the physical, Blake's story arcs in V4 and 5 shows her gaining a sense of comfort, security, in a welcoming home, discussing her loss, her issues and pain, but we only get a brief flash of that with Yang, hence part of why I think she is not nearly as well recovered as she acts. (Though there are still elements of Blake that hint at lingering trauma cos that stuff doesn't just leave you)
Secondly, Yang is frustrated/hurt that Blake is treating it like her lost arm was the issue, while she herself in the immediate fall out clearly saw Blake leaving her as the most painful thing. What's more, she knows, that Blake' knows about Raven meaning that to Yang, Blake left her knowing she'd been abandoned before and right after a lot of really bad stuff happened to both of them. Thus, Blake saying she'll protect Yang, when Yang wants them to be there for each other and when the thing that seemed to hurt Yang most was her leaving, to Yang, indicates that Blake doesn't understand her as well as she hoped. Note how happy she looked when Blake said she'd be there with her, until the protection thing came up. Blake saying she'd be there with Yang is likely everything she wanted to hear, but then it was followed up by her saying something that makes Yang realize "oh, she thinks its the arm that hurt me and or I am angry at her about."
Ultimately, things would be so much better between them if they'd just open up and talk to each other, but Blake still feels so much shame and guilt and Yang is too hurt and stressed to want to be that vulnerable again.
Something has to give though, I hope, and they can start to heal.
Also, anyone else love that Blake is calling out and acknowledging Adam's manipulative and abusive personality? Cos I love that, go Blake, you are so much stronger than him.
EDIT:
Like, I feel this is really important to note, but Yang is not, as far as I can see, by any stretch better, healed or more recovered than she was in V4. She's still shaking, still having nightmares if i recall, still hallucinating. She might seem more chipper, but that seems to go hand in hand with being a lot more angry.
Like, compare her old anger to her current anger. Old anger would flare up briefly, and was either directed at an enemy (Junior, Grimm ETC) or no one (Emerald Forest Temple). We only saw her get angry at a companion once, Blake and it was controlled, done to demonstrate Blake was too weak to fight and followed by a hug and Yang giving Blake distance. In comparison, her current anger is longer, sharper, more biting and directed at those close to her and leads her to quickly cutting herself off. So yeah, as far as I can see she only made a physical recovery in V4, not a mental one.
What's more, on the Blake and comforting her thing. When Yang hallucinates Adam in the barn, she at first tries to hide & dismiss it, but quickly caves & explains herself to Blake. This indicates she's either been able to hide or cover this up to everyone else which fits with her trying to put on a strong face. But she reveals these insecurities and vulnerabilities to Blake with very little prompting.
So yeah, I don't think this is an ego thing or not wanting someone she wanted to be there for her, trying to be there for her thing. I think she very much wants Blake to be there for her, but is scared to trust and fears Blake may not understand her at all and she's too twisted up inside to really express any of that.