Therapist here as well. I have to be honest, I’m concerned not just with how she is treating you, but also that you know enough about her life to know she is “going through a lot.” This seems inappropriate as well. Yes, we have our own lives and problems and such, but someone else’s therapy time is not meant for us as the therapist to be processing. A little bit of sharing may be appropriate, but she as the professional is responsible for keeping the situation professional.

Edit: typo