I think you've said in the past that she likes it when you email, so I would take that to mean it's not a bother.

I'm also wondering if she's asking questions about relationships because you have not given her much to go by so maybe she's just trying to find out what's causing you distress. Mine shows no interest in much of anything by way of asking questions, but that could be because I share a lot (or it could be that she is just not interested, which is most likely the case).

I would take her question as an attempt to help you talk about what's going on, but without information all she can do is guess with questions. If you feel that you need to lie, then maybe therapy isn't benefiting you very much and is, in fact, just causing more stress? If so, a really long break might help you find a way to make use of it if you decide to return.