I think your therapist may have a point about the focus being on your students. It's easy to see the potential in others but very hard when it comes to yourself

if you were one of your students how do you think you would view yourself? Would you see your potential?
I worry about my T getting tired of me too, do you think this is what you feel from her or from past experiences?
I don't think there's anything wrong with talking through the same stuff as long as you try to process and learn from it
Why do you feel she wouldn't 'want' to be around you? It does sound like she wants to help you and will work with you to achieve that.
It is odd how one or two really bad experiences in life can have such a hold on us, I often wonder why that is, we tend to hold on to those and be scarred by them, maybe it's so we can reject people before we get rejected or prepare ourselves for them leaving so it doesn't hurt so much? Have you told T about those previous experiences? Maybe we need to learn from the past instead of letting it come back to haunt us? Not easy though