Rich countries burned fossil fuels for 100+ years to develop. Does anyone think those countries are going to revert to much lower standards (somewhere between European and developing country standards) to give that same advantage to developing countries? Absolutely not.
EDIT: I want to be very clear before my edit window expires; I do not believe anyone should be forced not to have kids (although I would be onboard paying folks who choose not to have kids a direct transfer payment, just as it's not taboo to pay people to have kids and many governments do it). But I also believe no one should have one or many kids if their socioeconomic circumstances don't allow for it. We should absolutely strive to empower and educate women, as you mention this causes a natural decline in fertility rates [1].
[1] https://ourworldindata.org/fertility-rate#empowerment-of-wom...