She'll see through that too and make you explain.

Bite the bullet and do it for yourself? You want to keep quitting everything because your parents make you feel guilty? Work with your T to help you with your parents and you'll be helping your parents (be better parents) at the same time.

Does your therapist know your parents pay you to pay them? Start there, maybe. If you pay her at the end of each session, reach out and pay her "first" tomorrow. That way you won't be able to weasel out of talking about it :-) Hand her the money and when she looks a question, say something like, "my parents give me all the money to pay you and now they're questioning me about the cost and that's making me really anxious, uncomfortable. . ." confused, lonely, etc. There's nothing in that statement that is about the "therapist" to make you feel you might be offending her?

If you really want to get it done but not have to do it all; print out this post/page and ask her to read it (or give it to her with your payment tomorrow and ask her to read it as you skip out the door :-) That way she'll know "all" and be "prepared" to be the one to help you talk about it and resolve it most comfortably/healthfully for you.