How to reduce a red face while at the gym?

Not sure how common it is, but do others have a problem with going really red working out? Like EXTREMELY red to the point people may if you’re alright? It gets embarrassing at times having a hot face that radiates pure heat. I try to hold cold water in my mouth when I feel it get hot, but it doesn’t help all that well. It last for quite awhile even after I take a cold shower, but it’s not as bad as when it is when I first leave the gym.
Any tips? Thanks in advance!