I'm with you, Christina!

In spite of my initial confused feelings when I saw my T outside of therapy, it's been more positive than negative. I have a good feeling when I see her; it's comforting for me and I like seeing her as a regular person just like me.
xtree, it sounds a little different for you, though. Your T is encouraging the almost dual relationship. Mine isn't. It happens that our paths cross, but she doesn't make that happen. She's friendly when she sees me, but there is no doubt what our relationship really is.
I would bring up your concerns with her and see what she says.