My stutter has never once came up in conversation at work and I can hardly get through a sentence without stuttering. If you have good work ethic and get along with your coworkers, your manager and everyone else will like you. The best bet you have is applying to places you know hire younger or are more progressive because they may be more willing to take people who stutter and other diverse backgrounds, putting merit before person. Some more corporate places don’t care for what you have to show if you can’t (literally) talk the talk.