[tsimionescu]

Of course it's not a privilege. But if you're saying women aren't good at it, that women need to be protected, that's misogyny. It's like saying women can't receive the death penalty because they are not mentally sound to be held responsible for their actions, which was a real misogynistic argument at one point.

Misandry would be saying men must be sent to war instead of women because they are inferior, or because they deserve a worse life, or something like that.

[bigstrat2003]

There's nothing misogynistic being said here. You're stretching the word to cover situations it just doesn't apply to.

[tsimionescu]

Misogyny is believing women are less capable than men for certain important things (there are other ways of being misogynistic, but this is one of the most common). Warfare is a very good example.