Didn't you have the same problem with ex-t, being too close and her crossing boundaries? If your T knows your past problems, due to being former T's supervisor, then I fail to understand why she's promoting friendship with you more than being a T.

I was so happy when my current T seemed like a friend. She let me email a lot, she answered them, we discussed art, she casually mentioned her kids, etc. It was great to finally have a T who was like an equal, or so it seemed to me. But now I see that it's her personality to be informal, friendly, and caring, but she's still a professional, and that's the boundary. She was fine with me emailing photos of my kids and grandkids, but maybe it set up some unrealistic expectations on my part. She and I are NOT friends and never will be.

I'm not writing this to be mean. There has to be a middle ground. Now it seems like YOU'RE the one asking for your T to be more professional instead of acting like a friend. The question to ask is: Is she acting like a friend, or just being friendly? My T is naturally friendly, so I misinterpreted that. She's still friendly; that's not going to change, but I'm aware that it doesn't make us friends. If your T is acting like a friend, that's not good for you. I hope you can clear this up soon.