You are envious of something your friend got from this T that you really wish you had also. This is fair enough to feel and acknowledge, just don't let this get between you and the friend, or you and the T. Acknowledge it and look at why you want this feeling of closeness and support, and how you may achieve it in other ways.
You are also possibly jealous of the relationship between your friend and your T. Maybe you worry that this will weaken your relationship with the T? Don't let this worry weaken your relationship. Be as honest with your T as you can about what you feel you need. This will make it easier for the T to help you.

Not to be a party pooper or anything but this whole thing sounds a little red-flaggy to me. I wonder if your feelings of jealousy stem from how inappropriate this whole thing is (or how it sounds to me at least.)

So let's see... Your prof in your counselling/psychotherapy program who is supposed to be modelling good boundaries in psychotherapy has a student who is crisis. Instead of listening supportively, encouraging her to speak with a therapist and perhaps giving her an extension on an assignment, said professor becomes this student's ad hoc psychotherapist! At her own home! And holds her for half an hour! I can barely think for the alarm bells going off in my head!!! Seriously?

And then what? Are they going to meet for more holding and therapy again? Does the student get an A for all of this? This is messed up. Of course you feel uneasy with it.