IMO, she is doing it because she cares about you and wants to make absolutely sure you will have the support you might need "just in case" something comes up while she's gone. The info isn't going to just anyone- it's another T. And he probably won't look at your info unless there is an emergency and he needs to step in to support you. It isn't like he just wants a lot of dirt on you, and wants to be in your business. He's just there so you have someone to look out for you if you need it while T's gone.

Most T's do try to have a back-up system of colleagues to help their clients when they go out of town.