Therapy?

Due to ongoing issues my wife thinks I need therapy. She discussed it with her therapist and that lady agrees. I am not one that sees any way that just talking about my issues with a complete stranger would help in any way. I’m more of an introvert and never feel completely comfortable around people I know well. Trying to discuss personal stuff with a complete stranger would be very stressful for me.
Nevermind the fact that maybe I just need to man up and get over myself.
Anybody got any experience with this sort of thing?