No, and no.
Additional note on your issue with your "masculine male" MC being called a beauty: Those are your personal hangups about how masculinity should be perceived, according to you. It does not reflect the characters' thoughts about masculinity, including the MC.
To the MC and other characters, being called and calling someone a 'beauty' or 'beautiful' is a perfectly gender-neutral compliment. To me as well, by the way, and "masculine men" I know also would be very flattered to be called beautiful. I'm not going to adjust to individual readers' tastes on what is an incredibly minor detail🤷🏽♀️