@The Noise asked on my wall what specific political outcomes the woman vote is responsible for. There are some obvious ones. The 1960, 2012, and 2020 elections were all swung by the woman vote, to name a few, so we can say any political outcomes downstream of those elections are due to the woman vote.
Abortion is not one of these policies. Despite the repeated attempts of Democrats to make abortion the signature "women's issue" over the last 50 years, women and men poll only marginally differently on abortion.
However, it's important to remember that
both parties are beholden to women. Women's influence on the government goes far deeper than swinging a particular election (although when they do, it's for the Democrat). No party can win if it angers women. There are a number of government policies which are so overwhelmingly popular with women that, if you even spoke publicly in criticism of them, you could simply write off the next election.
The most obvious one is the wealth of policies and judicial decisions we have that are downstream from the Civil Rights Act that mandate favoritism toward women in the school, the university, and the workplace, and additional mandate feminine rules of behavior and socialization in those places. Since the CRA, women have dismantled the men's world via lawsuits, and the more feminized an institution becomes, the more crippled it is (ironically, the most effective women tend to complain about this as well, since they perform best in mostly-male environments). The ideal productive space is mostly men with a few exceptional women allowed in at the men's discretion. However, this is currently illegal, and any politician proposing to legalize this would lose the women's vote at a catastrophic level. The same goes for men's community organizations, which are illegal in the United States as well, thanks to women's votes and lawsuits.
Virtually no woman is going to read the above sympathetically. Most women abhor the concept of men organizing without a female authority figure being empowered to punish anyone who acts a little too boorish. One thing you commonly hear in the startup world is that the first major challenge a small company has when it grows to a certain size is abolishing its "boys' club" culture and reorganizing itself as a female-dominated space under social rules set by the woman who runs HR. If a politician were to propose taking away women's right to take over the culture of a company men built once it gets large and wealthy enough to attract them, he would get destroyed in the next election.
The list of things the female vote is truly responsible for is large, so I'm wrapping this up with a more broad sweep. There are a number of axes along which politics runs. One example, is safety/freedom. Voters want to be free to live their lives, but they also want to be safe from threats. A politician needs to find the right balance. Women lean a little more toward safety, men a little more toward freedom, but the difference is not immense. Where there is an immense difference, however, is the mean/nice axis and the closely related rude/polite axis. Men by and large do not give a shit whether a government policy is "mean," or a politician is "rude." Women do, and Donald Trump lost in 2020 largely because women perceived his policies as mean and his personal behavior as rude. Even in their personal lives, women's tolerance for insanity rather than be seen as mean or rude is legendary. So when you look at all the things our governments do in order to not be mean (such as not cleaning bums out from overpasses with fire hoses or hitting migrant caravans with JDAMs), or all the subjects which need to be dealt with, but don't get dealt with because it would be rude (like cross-dressers at work), you can blame women voters.