Should I quit my University debating team because of my stutter?

Should I quit my University debating team because of my stutter? (I originally posted this on r/Advice, but I though it'd be better suited here) (New to reddit, apologies if this is in the wrong place) I (18M) have a pretty bad stutter, have since I was about 12, and I'm quite self conscious about it. This has made it hard to make friends at university. I decided this year to join my university's debating society - hoping to build some confidence in my speaking skills; I'm very aware you can't 'fix' a stutter, my intentions with debating was to build more confidence in speaking through my stutter and hopefully lessen the anxiety I do get when I stutter around people. I've been going to trainings all year to improve my speaking. This semester, I was invited by the society to join the competitive team and start attending competitions - representing the university nationally. While I'm by no means good at debating yet, I really enjoy it and I've made some friends through it. The people at this society seem pretty accepting of my stutter, they're said it doesn't usually impact the intelligibility of my speeches. It has occasionally caused me to lose points at a competition (when the judge has not understood what I've said as I stuttered too much), my teammates said not to worry too much - as every first year debater has bad speeches sometimes. I want to believe them, but I'm worried that they're just being nice, even though I actually suck. I was also talking to a family member about debating, and they said I should stop - as it clearly wasn't going to fix my stutter, and I was just going to embarrass myself and my university by going to competitions. Are they right, should I stop before I embarrass myself? My university has a reputation for having an excellent debating society. I don't want to ruin their image by stuttering through my speeches at competitions. While I like going to competitions, I would step back and stop if it meant protecting the university's image.