Am I overreacting?

Just for starters my boyfriend and I are in a serious

long-term relationship. Okay so I wear the ring my bf got me for xmas on my ring finger so people quit taking my kindness as me being interested in them. My boyfriend likes that i wear the ring so people don’t flirt with me but today i mentioned the idea of getting him one to wear since he complains about women “making passes” at him so often but he flipped out on me and said he absolutely won’t wear it.. should i be worried? I asked him if he doesn’t want to wear a ring so he appears single and he said no but there’s no other logical reason why he wouldn’t want to wear it considering he wears multiple rings all the time. Am i being overdramatic for being upset over this?