Has there ever been a society in history that was so bad that "women afraid of bringing a child into such society." was a thing? In the very short term, sure, but forever?
Historically, many societies treated women as property whose opinion simply did not matter and having kids was a numbers game that was part of your retirement plan. Have ten kids and maybe a few will survive long enough to take care of you when you are old and needy.
In many countries that is a situation that was common until fairly recently and in some countries this is still the status quo. E.g. my parents are from Dutch catholic families and they have countless relatives. My mother had a couple of dozen aunts and uncles. Their generation was a lot less productive. I only have one sibling and neither of us has had any children. We're both middle aged and I doubt it will happen. I know many people my age that have made similar choices.
Korea is an example of a conservative society where women are empowered to say no both technically (birth control) and legally (they don't end up being forcibly married by their families anymore). That's pretty much the case around the world with some notable exceptions of very conservative and/or poor countries; typically with a distinct lack of democracy and other freedoms.
Economical circumstances make having kids a really expensive choice in Korea. So, people are no longer being forced to marry and have kids, they can practice birth control, and can't afford to have kids. So, they don't unless they really want to and are able to secure the funding. You see the same patterns in other places in the world where housing is expensive and people are literate. They have kids later or not at all. Even countries that are notoriously very egalitarian with extensive child support programs (e.g. Sweden) have rather low birth rates these days.
If you'll allow me to shift the goalposts, then it was men deciding to have kids. Has there ever been a society where men thought the world was too terrible to puts kids into? Assuming men and women have similar interest in the quality of life of their children, it should be the same feeling among women.
Of course women have all sorts of other reasons for not having kids, which they'll be using to actually have fewer kids, but imagining that they'll suffer from the bad world doesn't sound like a real reason and more of a political statement to make it look like they're very concerned about the popular worries about the world.
