(((ktgirl)))
You don't have to look at T if you don't want to. I don't think I would do more than take the occasional glance at T for months. Sometimes now, I just close my eyes and talk, and it helps me drop my defenses.
T is always looking at you because she is paying attention and she cares what you say. This can feel really uncomfortable when we're not used to receiving positive attention. (Maybe in the past when people paid attention to you, it was not a positive thing?)
I agree with Sannah...talk to T about this, let her know how you feel. You are definitely not alone.