I'm a pretty simple guy. I believe in approaching every problem with good intentions and honesty. If you can't approach a problem with good intentions you're doing something wrong; if you can't be honest about it then at least be honest about not being honest.
*spreads arms*
Kyouko can have all the doubts about our intentions that she wants! I'm fine with that. Our intentions are to be her friend.
... Our intentions are to be her friend in spite of all the bad shit she thinks about herself.
I agree with your sentiment on straightforwards honesty and I don't think you're wrong in it. But for myself, while I do believe in being straightforwards and honest, I'm also an inherently suspicious person: One who doesn't trust bright and happy things and always seems to expect the worst of everything, even when they know that's false, and I read a bit of that in Kyouko.
Which is why I think that not being trusted is a significant social problem here. I think that the more she doesn't trust us, the more bring our base nature into it and being blunt and direct as a hammer about ourselves, before anything else, will help prevent misunderstandings popping up before our true nature can shine through.
So I want to get "around" her suspicions that by being upfront and open about ourselves in a way that can't give false impressions, then continue talking from there.
Start with the thesis statement, continue to the points, conclude by reiterating the thesis.
While I have a drawn out a partial plan for it, I want the actual metabomb of Kyouko, to be the second vote in this conversation, rather than the first, using non-sensitive material to prepare for it.
I'm avoiding the privacy sphere straight off because, well, I don't think we've shown it to her yet and a big black sphere into which no one can see or hear is kinda sus without prior warning or explanation.
First proper draft, will continue to refine things as insight and commentary arrives:
[x] Firnvote
[x] Meet with Kyouko and Yuma.
[x] Aquire food, cleanse, chat.
--[x] Ask how yesterday's training went.
[X] Let Kyouko air anything she wants to air.
[x] Privately: Give Kyouko the choice of whether to involve Yuma in talk about our intentions or the church favor. Continue each out loud or by telepathy as appropriate.
-[x] Give the details about what happened with the church on your end, and why Mika felt she owed you a favor.
--[x] You didn't expect this. Mika just happened live in town when you were dealing with your part in the Sendai war peace-agreement, and you had the free time to give her a clear seed. You didn't realize she'd consider it as big a favor as she did.
-[x] Ask Kyouko if she still has doubts about your intentions.
--[x] At the most basic your intentions towards Kyouko and Yuma are that you want to be friends with them, you want them to be friends with your friends, and you want to help everyone you meet. You became a magical girl to give yourself a role in the world, and part of that that role is helping people and giving meguca the
ability group together.
--[x] Not over telepathy, use paper or grief writing if Yuma's not in the conversation: There's more to say, but some of it involves things you don't want Kyubey listening in on, and your best form of privacy is large and obviously magical enough to need somewhere secluded.
Also,
@Racoras since you were voting for me before I put something up, I should ping you so you can determine if this line of approach matches your expectations.
