I'm not convinced there'd be significantly more women as a percentage of the total as with the lack of medical care, childbirth could result in death of mothers equal to the rate experienced 150+ years ago (something like 1 in 3 I believe).
Rape as mentioned will be a major factor with many of those instances resulting in either suicide (due to lack of mental healthcare) or outright murder.
Women are also not imune to all the other ills facing the general population - famine, pestilence, exposure, fallout, and the odd stray round or misplaced airstrike.
At most we might see something like a 5% increase in the ratio of women to men, but this will vary wildly depending on the local conditions and history.
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If it moves, shoot it, if not push it, if it still doesn't move, use explosives.
Nothing happens in isolation - it's called "the butterfly effect"
Mors ante pudorem
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