I'd be scared witless, and feel vulnerable and exposed if I had a recording to play for my T...which means it would probably be therapeutic for me to share it. I've found that the more afraid I am of something in T, the deeper the issue the fear is shielding.
I'd have to talk to my T about it first, because I would also want to know my T was really okay hearing it, and to see if he had any tools or supports he wanted me to have in place before we listened to it.
Do what you feel is right for you.