Corys are not aggressive fish, atleast not from my knowledge, also corys are bottom feeders which means they siphon/suck rather than nip. I'm gonna assume that your new to fish (don't punish me if im wrong) and your just being a little overprotective

I was too and still am

so Im gonna guess that your cory just got a little to close to your betta, trust me you have nothing to worry about