Thank you everyone for the replies!

I will tell T about looking at her website (yes, this is her professional website) and reading old emails. I think I will hold of on the facebook stuff though . I have asked T about a transitional object before and we had a lengthy discussion about it which did not result in me getting one. I actually bought myself a transitional object - stuffed bunny rabbit that I named after T which I told her about. I have mixed feelings about emailing because while I do want the connection I also don't want to spend my time obsessively checking my emails which is what has happened with previous Ts. I also know that I can survive without emailing her which also creates mixed feelings; I hate the idea of needing T but hate the idea of not needing her even more.