I still remember this exact thing happening to me 10 years ago. Looking back, all i can say to you is to start learning how to ignore public ridicule, and public laughter. The only way out is through. Many such incidents will happen in coming years. You would never feel like interacting, or talking in a public forum ever again, after each such incident. But what worked for me, was that i intentionally decided to show up at public interactions. forced myself to talk at places and situations where i would normally stutter, forced myself in situations where i would be required to say my name etc. I knew i would often stutter, and people might laugh at me, but i decided to not get affected by it. It took time to develop that habit. But once i became brave enough, every day was better than the previous one. So yeah, know that, improvement might entail embarrassment, and don't be scared of this embarrassment.