I agree with Joe.
I am also another Hygienist who has practiced for 30 years.

Only rinse if it is suggested by your dentist. Usually a post op recovery sheet is given to a client.

Sine this is a fully erupted tooth it sounds like a simple extraction.
If it is simple and uncomplicated...any potential TMJ issues should be negligible.
The more relaxed you allow yourself to be..the less fear...and less discomfort during and after.
Let us know how you make out.