When your therapist really connects to you and you feel cared for by them, do you push them away?

I keep trying to get mine to admit she doesn't want to work with me, i'm giving her a chance to get out and she won't take it dammit.

Her being nice and supportive actually hurts my heart. I keep thinking she doesn't like me, i'm annoying her etc etc How messed up is that? I can't deal with people being that supportive and nice.