I'm a little confused, I thought yoou were seeing a new t? Also, I didn't know she was your teacher as well as your t. I had a t who did with me before I knew it wasn't ethical, and yes it's complicated and there are good reasons why it's not ethical!
I also think she's really really overstepping the boundaries, particularly about keeping you 40 minutes after session, which as someone pointed out is like another session! And about wanting you to see her doctor and other things. I would tell her how you feel about all this and that you want and need more independence.