This is not fully clear yet, as we need more.20 years or so in this situation to be sure, but seemly women are being convinced that they want careers, and they regret it later... Right now the numbers of 50 year old childless women due to feminism is still low, but many of those few are drifting to be against feminism.instead and attempt to convince younger women to not repeat their mistakes. Mostly because when you are a 50 year old childless rich women, you realize that now you still have 30 years to live, nothing to do, and few people to love and care for you.
Feminism is about empowerment and choices. Being empowered to choose not to get married and have kids as I read it, considering that in the Western world that was "a woman's role" for probably centuries. At least as long as we've had patriarchy, which is quite a while.
Once women have the freedom to choose not to get married, have kids, etc it seems likely that some choose not to and thus the rise of feminism is roughly correlated with a decline in birthrates.
I've tidied this up in a nice little causal package but it's quite likely not so clear cut. But it certainly does seem that way at a glance. Which is why the notion gets such good traction amongst some.
The UN report on gender equality in economy, writes explictly that countries where women have fertility of less than 3 is good, because research shows that women with high education has few kids, and thus it concludes that a country with not much kids mean that country has educated women, that from the point of the view of the report is a good thing.