If my T would call me sweetheart or baby, I would probably want to punch her :-) I mean, without putting it down, is that not a little creepy for you? Just asking, not judging! When I read this, it made me cringe. Just as when you said she sees you and treats you like a daughter.

There was a certain kind of therapy once called "Reparenting" It was a form of therapy where the T actually treated her their clients like their children. They even adopted them a lot of the times. That therapy became VERY controversial and ended in numerous lawsuits and was subsequently deemed unethical to practice. Today the Schema therapy has adapted a few of the reparenting techniques, but in a way more safe and secure way.

But in my honest opinion, there seems something strange about a T who calls a client baby or sweetheart. Or who takes on the very role of a mother or father down to the scolding.
Just my opinion though.