I would maybe give her a call and voice your concerns and just ask. Tell her upon reflection you were uncomfortable with her questions and was wondering why she asked them. It could be just to see how open you were. Like depending on your reaction to them would shape her approach to your therapy. Telling you why she was asking the questions up front might color your reactions.
To me, if I ask someone a personal question like that and they answer me honestly then I know they are pretty open and I'm not going to have to work too much. If they are like "I'm uncomfortable talking about that" I know my boundaries to work in or on.
I am not a therapist at all so these are just my guesses.