I am very curious about my T's personal life, but I would be way too scared to ask her any questions, b/c I feel like she might think I would be crossing a boundary and being too intrusive and wouldn't answer my question, which would be super awkward. Sometimes, I do wonder if her other clients ask her question about her personal life and if they do, what she thinks about me that I don't.
On a related note, I always call my T "Dr.whatever" when I address her in my emails. Then one of her clients was leaving and as she was leaving she said "Bye Amy (not her real name, obviously), but it made me think about other clients not calling her by her "title" and that it was weird hearing her first name out of a client's mouth said so casually, like they were friends or something. I almost wanted to ask her if I could call her by her first name (I actually do think she would prefer this), but I would feel weird, like I was talking to my friend or something. But there is a part of me that would like to use her first name, but I would feel really weird saying it.