My T told me that in general, if a T would bump into a client, the T would initiative contact. When I was still in group, one of the groupT's told us that she and one of the group members where at the same party because their kids go to the same school. It ended up being a good afternoon, they talked, but just about casual things, kids and such.

If I would be in a situation like you, I would feel uncomfortable. I wouldn't feel safe with her in session.

PrevT was very closed about herself. I became very attached to her. It was not healthy for me. I'm still not over it.
Current T is very open. I know personal things about her. When she tells me somethings it is in relation to something I'm dealing with. This appraoch helps me. Our ''relationship'' is healty.

For some people work strict boundaries better, for others a more ''even'' C-T relationship works better.