To the OP, yes definitely, your mental health can exacerbate your stuttering. Stutterers already have a dysregulated dopaminergic system in their brain compared to non-stutterers. This can be overactive or underactive. Some mental conditions can cause even more dysregulation in various neurotransmitters in the brain, which affects the speech motor networks even more. I would suggest talking to your doctor or psychotherapist to see what can be done to get your heightened anxiety under control. This will calm down the adrenaline fight or flight response too.