Name issue

Name issue I can’t say my first name, and when I’m asked it feels like my throat closes up and I enter into a frozen state. I can say my last name with no problems. Every doctor I’ve spoken with insists this is a social anxiety problem and not a stutter, and I am pretty fluent aside from just my first name. I need to take medication to get rid of this for my professional life, and I’m not sure whether I should be in SSRI’s (anxiety) or dopamine antagonists (stuttering). Which med will help me to say my name fluently, and take away the block? If anyone has any insight, please let me know your thoughts.