@givemersspls The armed forces and emergency services analogy doesn't work because the question here isn't "is she strong enough to do X", it's "is she strong enough to fight men". The difference in strength between men and women is directly relevant in this situation because she has to be able to stack up directly against men and fight them. "Are girls weaker than boys" and "are girls too weak to handle this specific situation" are the same question under these circumstances. The question here isn't about doors; it's about fighting men, it couldn't be any more relevant. Statistically speaking she is likely to be weaker than every other individual there, and there is no time to check otherwise. This is ignoring the bigger issue, which is that even if she's an exceptional fighter it would be incredibly risky to take her along considering the kind of people they're up against.
On the "reason" argument: I've seen no evidence that there's sexist reasoning behind him not taking her along for the fight, it hasn't been directly shown but logically(as in removed from any of the authors biases/what might happen next chapter) this is the safe and smart decision so there's little reason to assume malice. I went back and read your evidence for Yuuhi being sexist on the chapter 14 comment section and with all due respect, it's flimsy at best.
@MacMeaties hit the mark when he said you were both putting words in the characters mouth and grasping at straws, and the idea that him buying into the most common gendered assumption of all(hitting a woman is worse than hitting a man, as the overwhelming majority of women are weaker than men) means that he's outright sexist in other situations is a reach.
Yuuhi is an idiot with more room for growth than good points, but there's nothing substantial that suggests he's a misogynist.
The right to troll is yours of course and no one can take that away from you, as long as you're aware that most people will cease to engage with you in actual discussion if you go down that road. To clarify, I'm not saying that's what you're doing here. I think you're wrong on just about every point you've made here, but you seem sincere and I can respect that even if we can't find any common ground on this topic.