Sensitivities, those things that sort of "trigger" you, are often a result of either some insecurity, some emotional wound from a previous experience, some type of "mental programming", or some combination. Furthermore, if your brain operates with an emotional bias, you're going to be more sensitive than someone who is more emotionally shut down.
@Kayla55 is correct, that often times guys tend to take things less personally, especially if they are amongst their friends and are jokingly throwing around insults toward each other for laughs. That's more of a man-culture sort of thing, less so for women. There can be a bit of double-standard when it comes to males and females when it comes to this, amongst friends, guys can be absolutely brutal with their insulting jokes towards each other, and we just laugh it off and then follow up with an even more crude, insulting joke. Generally, you don't see that sort of interaction amongst girlfriends. If a guy friend says a crude, insulting joke to a female friend, that's not going go over well, but if she does it to him, he will likely laugh it off and not give it much of a thought.
If the insult comes from a stranger or rival, then people can get a bit "haired-up" and are likely going to be in a defense or attack mode.
If you are already in an emotional state, anger or fear, for examples, your brain pretty much has turned off the logic centers and you may be quite sensitive to certain stimuli, sometimes even ramping up the emotional reactions before anything even happens.
Context and perspective are important.