My family has been in the Midwest for several generations. Back in the sodbuster days, men spent more time in the fields and women spent more time in the house or the garden. Still, being able to shoot was a basic skill like washing your hands: everybody needed to know how to do it.
My father was a federal LEO; I think my mother might see carrying a handgun all day as akin to taking out the garbage or baling hay: women can do it, but why do so if your husband's doing it, unless the task takes more people? We (two boys and a girl) were all expected to learn to cook and wash dishes, to iron and repair clothes, to shoot and to bait a fish hook (somehow, shooting and fishing were not seen as chores by us kids, though
). We were taught that we would need to know how to do these things when we grew up. She knows how to shoot, but she looks at shooters the way I look at basketball fans: there's nothing wrong with basketball, but if I were watching sports, I'd rather watch football.
In my wider family of aunts and uncles, cousins and so on, a lot of women have and shoot guns, but there's some sex-role splitting with a few couples. A similar thing happens with driving tractors or joining volunteer fire departments: numerically, more men than women in my family do these. I have more women shooters among my rural relatives than my urban ones, but it's a matter of degree rather than a strict distinction.
In my immediate family, my sister's the best rifle shot and the most accomplished big game hunter. She also lives in a city, and has always lived in cities. Nobody in the family gives it a second thought that it's a woman who's the best rifle shot among us. We're proud of her 'cause she's good.