Wow, more wedding ring horrors
Sure hope that comes out. Doesn't really look scratched. Perhaps just a deposit from the metal? Try some solvents or even cleaners as long as they are compatible with that paint. Goof Off is good but it will take off latex.
My ex ruined 2 of my new car leather steering wheels raking her wedding ring across them then denied doing it. DOH, I don't wear jewelry and should have never given it to her anyway. Ex.