I remember the first day of each year in my teenage years in school when I have to say my name, what hoppy I like etc. Those were nightmares and I had to act to go the bathroom just to avoid it. Even if I said it once I had to say it again because they did not hear it. But after years of practice I just didn't care about my stutter and continue to talk even if I stutter. English is the second language I stutter on it more often than my native language. Weirdly enough I stutter with my name in English more than the other language despite it being the same in both. I hope you get better at saying your name, maybe try to start the sentence by ”my name is...” instead of starting to talk with your name, that might help you since it helped me too!