I don't see Ts as voyeuristic, and I do think most view the info they have as a by-product of doing the emotional work. I know that while my T seemed to remember nearly everything during my therapy, now many years later, he doesn't remember the details, but does remember the emotional truths of our work.

In most cases, I would suspect an over concern to the contrary to be tranferential. But I must say, your T's specificity of questions baffles me. What earthy purpose could knowing where someone in your life works, or what they look like, serve in YOUR therapy?

I think I would feel it necessary to directly address her curiosity: I'd want to know exactly how such info will contribute to her helping you. Otherwise, I think the nagging doubt would undermine trust in the relationship and have a negative impact on the therapy.