Hey Chaotic,
I think you should call T and discuss this with her. It's a major career move. I also think that if you need to use the back injury excuse it's okay. Why don't you write up a curriculum and offer to supervise a junior colleague? Tell them you will pick up in the fall--buying yourself time to work with T on the issues and whether you can work through them.
I think your reactions are most interesting because I also have no problems touching others but don't like being touched! I have not yet worked through this one so can't really offer you advice here.
Call T and May the force be with you.