It sounds like your anxiety is carrying over into your romantic life. Sometimes when we are anxious we tend to brings things up repeatedly or have a constant need for reassurance. You both play a role in this. It is a little concerning that he doesn't want to talk about this because your best outlet besides your psychiatrist is your closest relationship. I do understand his point but this is still not being as supportive as possible. It is great that he looks out for you. I would also engage in other means to reduce your anxiety. Try things like journaling or written means to resolve intense concerns that can be reduced through finding outlets that you find pleasing. Continue with professional services but focus also on finding outlets yourself that can practiced between sessions.
If this has been helpful press accept