Deli,
Does Austin T even know you want to continue therapy? You mentioned that you think he might believe you are unable to pay for private sessions without insurance. If so, that might be why he's proceeding toward termination. I would suggest you be straightforward with him. You could just tell him you believe you still have issues to work on, and you wonder how he'd feel about you continuing therapy with him and paying out of pocket. Hope it goes well!