Well that only shows how much you know about women. Kratos is masculinity personified, violence, rage, proclivity towards destruction all come from heightened testosterone. Who wages war, women? I think not.
Given most of my friends are women, and I've seen a lot of girls speak on their preferences on this forum, lemme tell you something dude (and a woman can correct me if they want). The vast majority of girls into games that actually can find rendered/drawn fictional characters hot, I've noticed, are into guys like Cloud, Leon, or Tidus. Muscular, sure, but more fit like an athlete than a body builder, and often slim. Heck, at times, not even muscular at all. They vary facially from pretty to handsome, but never hypermasculine beyond some stubble or facial hair. Generally also NOT the kind to answer problems with violence first. I mean a few do like violent guys, but generally those gals also like more monstrous or weird looking characters rather than your raging, angry Kratos. Like, Devilman or Venom or something.
That said I've seen a lot of people into Dad!Kratos, but for the rest of the series he's definitely not attractive to most women. Personality factors into attractiveness to a lot of people, especially women who aren't really trained from birth to look at potential partners' aesthetics alone as men are. And so, Kratos, who is an abusive asshole and a representation of men's power fantasies, is just... not hot.
Also lmao, you do know there are several cultures where women fought and fight right alongside men too, right? The samurai for centuries taught women to fight, for instance. While they didn't go to war, they were indispensable parts of defending their homes in wartime. And quite effective- there are several stories of a group of 30 or so women fighters armed with bows and naginata scaring off much larger armies. Embellished, perhaps, but speaks to how the Japanese of the time thought of women warriors- quite highly. I mean shit, the "women's weapon", the naginata, was also known as the "monk's weapon" (who trained hard and got either VERY strong or VERY skilled compared to typical samurai) because of how heavy it was. That was NOT something you just picked up one day and could effectively use without training.
Several mythologies beyond those that actually trained women themselves feature women warriors. Amazons, Valkyries, and so on. I mean, shit, Athena is a God of War as much as Ares is. She's just the smart, planning part of warfare, while he's the "go in swinging in a berserk rage" part. Don't let our modern monolith "western culture"'s sensibilities color your worldview. Just because it, and several other cultures admittedly, decided to pigeonhole women, doesn't mean they're incapable of training to fight at an adequate level, or whatever you're getting at.
I know you're temp-banned so maybe it's not fair to response but I saw fit to respond for others who may agree with you. Because wow. Lots to unpack here.