I tell a lot of people that I stutter. They don't treat me differently, but I have some measure of control of what they interpret my stutter as. Nobody's "normal". Don't get caught up in that concept. If you spend your whole life trying to pretend, that's unhealthy. Talk to your group, talk to your instructor, talk to a counsellor, whatever you need to feel comfortable. Maybe there are resources available to you that you didn't know of. Stutter is just a thing that some people have. Don't go hiding because of it.