Well, never say never. Maybe you could quit. Shame can turn into acceptance one day.
I can see why they interpret something disturbing, but still medical people must control emotional reactions, IMO.
Anyway, it sounds not unsurmountable. A lot of people have experience with self-injury, intentional or otherwise. How would you like things to turn out, ideally.
Weird looking human skin is normal. Few of us are supermodels. There's always spray tan if you're into that. I'm not. I accept the natural variation of things. Reminds me of a poem --
Pied Beauty by Gerard Manley Hopkins : The Poetry Foundation