Are you still seeing this therapist? The only good news I can say is you have actual proof whether or not people give a shit that you stutter? My guess is no, not really. The fact that you are more aware of it now is no reason to think any differently about it. If I were you, I would look at it as discovering a new part of yourself and it's an authentic part and authenticity is great. Keep on stuttering and keep on not caring like you did before. There's nothing to be afraid of, you've proven that to yourself your entire life.