I have experienced the "first time seeing T since sending a SUPER embarrassing email" thing many times. I've sent many cringe-worthy emails in moments of desperation that I later wished I could have unsent. And I always was so afraid to see my T after sending them... but I lived through all of those times, and never was it as horrible as I imagined (not even close). I think the anticipation is the worst... I really think you'll feel better after seeing her. Maybe not right away, but in the long-run. She's probably just so happy you are being honest about your feelings.
Good luck on Monday.