I think it’s better to stutter then to get caught in a lie. I don’t think anything will come from your particular story though. I did a more extreme version of this during summer camp. It was with Girl Scouts, we did half the trip with our troop and the other half we were assigned to random groups. So for half the trip I was with only strangers, strangers I’d likely never see again. I didn’t speak a word for four days, which is unlike me. I got nervous and didn’t say anything when we introduced ourselves, one girl said “I guess she doesn’t speak” and so I just stuck with it. they thought I was selectively mute or something and I saw the opportunity to be someone other than myself. For four days I was mysterious instead of annoying. I look back on it though and am like “I could’ve connected with those girls.” I didn’t want to stutter and as a result I potentially lost out on some friends. All the other girls exchanged emails and handles, not me. It’s a shame to lose authenticity to fear but it happens all the time for all sorts of people and for all sorts of reasons.