Esther,
Sometimes it does take some time to build trust and be able to feel safe telling your T certain things, and if trust is the issue you need to work on, then you don't want to rush that faster than you can handle. But I think that you and your T should be clear on that trust is a primary thing that you are working on if that is the case, so I would suggest talking to her about that. Also, if trust is an issue, then one of the things that can help you to build trust is if you know a few things about your T, so that could be why she tells so many stories. However, you need to let her know if something is not working for you, or if you don't feel like she is listening well enough. Then maybe she can adapt and give you what you need. If she can't, then you may need to find a different T. Talk to her about it first though, and see if maybe the problems are part of the process of establish trust or something that she can change, or something that you can work on, or if there really is some incompatibility.
You are right about needing to feel safe, but you also need to be working on feeling safe enough to open up to your T. She can help you a lot more when you are open and honest with her.
(((((((hugs))))))))) if you want them
__________________
“We should always pray for help, but we should always listen for inspiration and impression to proceed in ways different from those we may have thought of.”
– John H. Groberg