Built up the courage to go to my doctor again about stutter, left crying

Built up the courage to go to my doctor again about stutter, left crying I finally decided enough was enough, and I wanted to explore some anxiety relief to perhaps help my blocks (which happen all the time, but are far more frequent in social situations). I explained the situation to my family doctor, I feel like my stutter is holding me back, I'm so nervous going into social situations where I'll have to talk, I find it difficult to ask questions because I'll always block on 'do', 'should', 'can', and 'how'. I tell him I remember having problems as early as 10 or 11, and how I don't stutter or block when talking to my pet, but as soon as I'm in a social situation, I'll opt not to speak at all because of the blocks. He gave me the card of a psychotherapist and tells me my life-long stutter would be resolved when I move out of my small town. I was tearing up when I realised he was adamant that I would not get an anxiety medication, and I explained as much as I could how my mouth dries up when I know I'll be expected to answer something, how I agonise over every conversation both before and after it, how it has held me back in so, so many ways. I'm very covert with my blocks/stutter, and I feel like he brushed it all off because of that. I will probably visit another doctor, but feel like my chance to get an anxiety medication is gone. I'm just so disappointed and had to vent. [I know medication won't ever cure my stutter, but even if it improved my fluency a small bit in social situations I would be delighted.]