Wait, do you really consider "bitch" or "bitching" in these contexts sexist, nowadays? I've seen it applied to both genders, and, as in this case, a verb. It's moved on from the controversial stage to a common expression.
Hmm. I agree that it's normalized (as you said below), and not controversial to lots of people. But I think that's because people are mostly fine with casual sexism, as long as it's not too obvious.
So think about this. You've seen it applied to both genders. How is it applied to men? "Whiny little bitch"; "I'm gonna make you my bitch"; "Suck it, bitch"; "Stop bitching ..." Here's what those phrases mean to people, not in the past but today: "you're acting like a weak, pathetic woman"; "I'm going to sexually dominate you like a woman".
How is it applied to women? "Stop your bitching." "Shut up, bitch." "She's such a bitch." Can you guess how those ones come across? "Shut up, stop complaining, and smile the way you're supposed to." "I own you; do what I say." "She doesn't act the way women should."
Right now (if you're not a terrible person
you're already typing "that's not what it means when I say it!" And I sorta believe you, and that's great.
But there's a reason that if you stop using "bitch," you won't have a good word to replace it. "Bitch" is a powerful, useful word exactly because it's great for calling men women, and telling women to stay in their place. Those messages hit hard, because it hasn't been very long since women were literally property, so having a quick way to hit someone with them comes in handy. And you don't get to choose how people hear your words -- when you use it, that's what's lurking right under the surface, and it's what a lot of people will hear.
Go ahead and keep doing it if that's your thing. Even try to reclaim it. But some of us are going to think you're just another schmuck blindly supporting the idea that men are one way and women are another way and men should be in charge of women. I haven't used the word "offensive" here, because that makes it all about me. I'm not offended.* It doesn't matter if I'm offended. What matters is that words promote ideas, and the word "bitch" promotes a stupid idea, and you might not want to do that.
* (Offended is such a weak emotion anyway. I recommend self-righteous anger, bitter amusement, cold calculation or cynical detachment. No one is merely offended.)
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