I don't see any way in which you have screwed up. Your T is right: if you don't trust her that's okay, but it's something to work on - not because you've done something "wrong" but because it matters, for you, to be able to trust her, and she wants to work on it for you.

I don't think you need to take so much responsibility for your T's feelings. You can cope with you not trusting her; she's just concerned about doing right by you and helping build that trust. It's really okay that you said whatever you said.