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I found something interesting, I originally thought that akaza never ate women but he would fight them. I decided to do some research and found to see if my thoughts were true. Plus I was getting annoyed with how many people would complain in comments in stories that akaza wouldn't fight a girl on female-reader books (also don't assume this means I'm definitely a girl, even if you ask I will not confirm nor deny since I plan on keeping my gender to myself so I don't have people complain that I shouldn't be reading a book because the reader insert is the opposite gender- sorry for the rant) anywayon Google: "Chances are, he'd probably flee, or break their sword and knock them out, but not kill them, since he has a specific rule against killing them"
So he would still fight women just wouldn't kill them, never once mentioning that he wouldn't attack or hurt them. So I honestly have no clear where everyone got the idea that akaza would never fight with a women.
If the women was just some bystander than yes, I can understand he wouldn't try attacking/hurt them. Just flee but if it was a demon slayer then he'd obviously attack.
Women or man, if they are demon slayer he will attack. He just won't kill the girl but he has no problem killing the boy.