(Relying to
@doctorendgame) In my opinion, making other people "shut up" shouldn't be the goal of self-promotion in a collaborative field like medicine. I brag about things when I'm proud of them, because I'm proud of my accomplishments! Or because other people can benefit from my skills. It's not a competition! (But when it is, I try to channel my inner Muhammad Ali, in the spirit of friendly competition.)
As a single guy, if someone called me an "incel" I would keep a straight face and move on from there, with the goal of connecting with the other person. Maybe something I did rubbed them the wrong way and they reacted to a gut emotion; who knows? No reason to escalate things.