Hi, this is my take on things, and it is based on what I have just read, in the context of what is going on for me, so if I am off base, ignore me.
I think that you sharing the details with your T is all the sharing you have to do until you feel ready to share.
I say this because I have come from a session with my T where he was emphasizing that I have a right to privacy and that I do not have to share anything to do with my health with anyone. I may choose to, but he was stressing that I should never feel obliged to.
I understand it in theory, and believe in it as a right, but really struggle to apply it to myself, and he ended the session asking me to ponder why I find it difficult to justify my right to this basic right.

You don't need to justify it either. Don't push yourself to share if you don't feel ready. Don't burden yourself with her "needing" to know. If no one is in danger because they do not know, you can keep it to yourself. Is her not knowing today really any worse than her not knowing yesterday?
You may be ready to share it at some point in the future, but at the moment my impression is it sounds too raw, and your hold on things too fragile.