I think what she is trying to do is let you know she has feelings for you too. Yes...it is counter-transference. You said she is referring you to another T? Why is she doing that? I'll check your previous posts, I may have missed something. Anyway...she may be trying to ease your transition and just let you know that she really does care.
However...I react to the word Sweetie. I don't like it...it sounds condescending to me but that is my problem. I would have responded differently to a different word there.
I think it's great that you threw a pillow at her!!! LOL...
Way to set your own boundary!!!
That shows enormous strength, and possibly some anger about the referral? Because you saw a reaction on her face...I think you have to talk to her about it and soon.
Do a summary on what you have gotten out of your time with her, what has been good, and what has not been so helpful. It will help her to help others and it will help you to move on.