Absolutely tell her. That would bother me a lot. I’ve worked with a lot of T’s (good and bad) with a lot of styles and no one has ever done that. Current T would never do that. Even when he wanted to do a timeline of my life he said he wanted to know important events and it would be helpful to know of any abuse but I did not have to tell him if I wasn’t ready. He also said I could give as much or as little information as I felt comfortable with.
In addition to therapy I also worked training child welfare workers. I used my own stories and history as examples quite frequently. So I have talked about my history a LOT in a lot of settings from one-on-one to groups of 50+! I can tell you that what you are describing would STILL make me feel uncomfortable so please don’t think it is just you.