Yes, because she is acting like an irrational hysterical. Taylor's mindset has become "I'm right and everyone else is wrong and I don't need to make any effort to explain my actions or try and deal with my issues in a way that might actually resolve them." Which oddly enough has not improved her situation. What a shock there.
It's almost as if there is a reason why children under 18 dont get to make their own life choices without someone older and wiser ultimately being responsible for them...
Yes Danny and the Protectorate are using threats to force her to go out in costume (and under their orders).
No threats needed. She's going out even without 'orders' and has been doing since betore the PRT became involved. That's part of the crux of just why there is a conflict at all. She's going out without support or protection.
Technically despite her age and powers, it's as if you let a 6 year old run around outside in the dark to fight 'crime' because he found a gun somewhere...
Before he signed the contract she had the option of putting away the costume.
An option she refused to take before he signed the contract, hence the reason why he went and did it anyway, as well as her refusal to stop AFTER she ran away.
He never asked her not to go out, and never cared to even ask about her activities or her powers, or why she was so against joining.
Actually he did, for all of that. He asked, she deflected the questions and refused to answer outright.
Since none of Taylor's arguments got any reaction out of him he apparently doesn't care that the Protectorate covered up an attempted murder with his daughter as the victim, nor that Taylor already has trustworthy backup as an independent who aren't using cohesion on her.
None of her arguments got through because they were basically like this...
Taylor - I'm fighting crime!
Danny - Why? Why cant you let me help you?
Taylor - NyyyyaaaaHHH!!!! *Slam*
Also he never got the chance to find out about attempted murder nor her backup because she wasn't talking to him either. She was going out and doing things, possibly illegal things, and what recourse does he have?
Do nothing, she gets herself killed, hes failed as a father and would likely suicide.
Do something, she runs away, get's herself killed, and he's failed as a father and would likely suicide.
Hes choosing to TRY something rather than sit back and just do nothing. He at least still has hope. Else he wouldn't have tried anything at all.