I've met other stutterers in the past and I've definitely experienced that. Getting past the discomfort is itself a huge step forward, so try things like listening to podcasts by stutterers. It might be cringe-inducing at first but it eases much of the discomfort in your own stutter. Or of course, go to a group! For me it was far easier than any of my past experiences meeting people who stutter, probably because there wasn't the same social pressure.