Good luck, [I just hope you don't run into this kid](https://www.youtube.com/watch?v=aow69yy4UQU). Honestly i would rather not take a job which relies on extensive verbal communication, because it would demand greater effort and still puts you at a disadvantage, and for your students they are liable to feel deprived and underprivileged even if you are doing your job correctly. It may be good for you personally to get some practice and experience with verbal communication but at the end of the day you're still going to be less proficient than non-stutterers with the same teaching ability, although if you wish to pursue this field it would be something you have to get used to. But it really all depends on the nature of the role and the severity of your speech impediment of course, i do hope you keep us updated, I'd love to know how it goes.