I don't know what to say/suggest other than try and stick with it. Your T isn't there to judge you, and I don't think she can tell anyone what you tell her as she'll be bound by some kind of confidentiality agreement - maybe that's something you can ask her about.

I hope you can learn to trust your T, and that you can build a good therapeutic relationship. 'Word vomit' isn't always a bad thing, sometimes it's better to let it all out

Hope you're okay