This whole song and dance about calling people "bad" names is irritating me.

You pointed out hypocrisy. There was nothing overtly sexist, racist, derisive or contemptuous about doing so. Saying someone is engaged in hypocrisy is not the same as calling a woman a bitch because she turned you down for a date, or calling a man a douchebag because he didn't open the door for you. It's not like any of dozens of racial slurs. It's not dehumanizing in some fashion and it doesn't suggest the hypocrite is less than in some way. It's how you refer to someone engaged in hypocrisy either overtly or subconsciously.

Everyone is a hypocrite at some point in their lives. It happens. We don't always realize it.

Someone who drives a car is called a driver. If you don't like the term, don't drive a car. Someone who builds or repairs machines is called a machinist. If you don't like the term, don't work with machines. And so forth and so on.

If you don't like being called a hypocrite, stop engaging in hypocrisy.