It seems like you really want to get into this, I would advise you to keep on trying. I had the same worry when becoming an EMT but my class went great even with a comment every once and a while about my stutter. It was definitely hard no doubt about it. Go into it confidently for streaming, which is way different than health care. If you're confident about it, it'll be harder for others to make fun of you. Also, you could consider bringing it up in the beginning or mid-way through, making fun of yourself/the stutter a bit (if you're that type of person, think of the comedian Drew Lynch), or making it a part of your character online. Idk if that last part makes sense but as someone who watches youtube streams every so often, it seems as if they are putting on a persona while being themselves.