Oh my. This new information is a bit troubling. Your friend's professor/tutor does not have the authority to decide what T (or gender of T) she should see. Involving herself at all in that process crosses professional/ethical lines. I also don't understand why your friend is talking about this with the tutor in the first place, and why she is not simply going to her male T? Was there a problem with her T, in her own opinion?

Even more troubling is the idea that your friend's personal issues might have been discussed in the class, as part of training? Eek. That crosses all kinda of professional boundaries as well. Even if your friend doesn't mind, it's completely inappropriate in an academic setting and it is inappropriate for the other students. They have the right not to have those boundaries crossed and made uncomfortable. Those things just are not meant for the classroom. Are you worried about the kind of training you are receiving at this University? It seems that the professors responsible for training you to become a T do not know how to be Ts themselves. If they demonstrate these poor boundaries to you, how are you to understand that they are unethical and not follow in their footsteps in the future? It sounds like you need some good modeling!