There are some questions my T wouldn't answer even when I did answer all of hers. eg:

Me: What brought you to therapy?
T: I'm not going to tell you!

(Try that on your T!)

But anyway, it's silly to expect us patients to be able to answer every question. If we had all the answers we wouldn't be in therapy, would we?

T: (Searching question)
Me: (Long pause) I really don't have any answer to that right now.
T: OK.

And sometimes my T says, "You think you know all the answers, don't you!"