Well, you don't know that. You don't know if, you had said, "I really could use another session this week," if she wouldn't have found a way to squeeze you in.
I think you should tell her how you felt, though. Because it seems like you have issues accepting care from other people. You feel *ashamed* to want care when you need it, and when you receive the care you need, you seem to be looking for evidence that the person doesn't actually care about you.
I think going into relationships and being (1) unable to ask for care and (2) unable to accept care and (3) unable to believe someone really cares....those are real issues to work on. I speak from experience here.
I strongly suspect the reality is your therapist really cares for you and wants to help you.