If I’m correct in assuming you’re in your late 20s and perhaps a younger pup among your colleagues/clients, then perhaps this is (and I’m projecting my experience on you in saying this) resulting from a belief that everyone else knows what they are doing. Consequently, you act from a softer position of doing what you think is right, but always giving the final say on your performance to others from whom you’d like constructive criticism, advisement, and honest correction if you’ve made an honest mistake. Instead, what you get is sniping, posturing and other bad behavior, which you (I’m guessing) are allowing to pollute your otherwise healthy feedback system.
If this is remotely accurate, what you need to do is a) learn to trust your competence and b) recognize that others’ nasty behaviors really have little to do with you personally—and c) that they don’t necessarily know what they’re doing, either.
If you internalize your competence, vision & character, and externalize the crap behavior that others throw at you (instead of the converse), you’ll have fewer reasons to get upset. Recognize the environment around you is for what it is and don’t expect validation to come from that environment. This is easier when you start recognizing and anticipating patterns if you’re dealing with the same people time and again. When you get thumped, dismiss the behavior, but do process the information/correction (starting with “do they have a point?”) Get your validation not from people in the environment in general but from people you trust and who function as mentors.
I’m a crier, or at least I used to be, until I recognized that some people are just a55holes or don’t care about the stuff you care about or try to game you, manipulate you or drag you into their little play about their insecurities. This very much includes those with some degree of power or authority, unfortunately.
Uh… back to your question, try some playacting. Prep yourself for your morning commute to Mars. Put on your protective space suit and pack your ray gun. Observe the Martian behavior and amuse yourself by predicting and experimenting to get the reactions you want, etc.
Or, legitimize your behavior (“Chicks cry, dude. It’s not a big deal.”) And then focus your attention on the matter at hand.