I've been in education for 15 years, currently Dean of Students. I could explain this in more detail but the TLDR is I have to do it. I've learned what to say, what not to say, I've stuttered openly in front of kids, colleagues. I've heard the giggles and said "Sorry I have a stutter but we can get through this, as I was saying" but the truth is any one who giggles is looked down upon, not you. Do your best, keep learning, and let the confidence of a good job carry you. And one day you'll see a kid hiding their stutter and you'll be there to give them the help other teachers didn't know they needed.