I'm sorry that this happened.

I don't think it's a reflection on you, but a reflection on T. If your inference was just guesswork and clues, then I don't think your T should really be upset.

It sounds like maybe your T was/is worried about boundary violation; that you had been doing research on her or somehow underhandedly found out something which she would not normally reveal to clients.

I don't think you did anything wrong. Hang in there. Hopefully your T will calm down and think about it this week, and be ready to address it in a calm way in your next session.