Stimming feels good - comforting/reassuring. I always figure stimming is good exercise too! My stimming is confined (mostly) to just rocking &/or swaying. I do sway, my preferred stim, when I'm standing which partly balances me too. If I have music on (yes!) then it's acceptable because I am rather dancey anyway! I guess I'm fortunate that my stimming is innocuous, which is not to say certain 'outsiders' can be harsh. I had one supervisor (ex) who HATED my stimming, and she vocally reprimanded me, however, she was at least nuts and truly evil to me.
My stimming is within acceptable limits to those around me so I don't perceive it as a problem whatsoever. And I can't really control this anyway, at least not for long! If I were somehow not able/allowed to stim, like by threat of death, I would die.
I am sorry for those who have stimming deemed 'unacceptable' and that should be curtailed so stimmer isn't ostrasized or hurt. I cannot know why OP stimming would be disturbing for you...unsure. Can you switch stimming method? Are you able to shift? I've read too that certain toys, like textured squeeze balls, do help.
I use a digital metronome with a visual pendulum which offsets my stimming some, like an external pacemaker - you could try, yes? Do you like music? That can help too.
_________________
The ones who say “You can’t” and “You won’t” are probably the ones scared that you will. - Unknown