Despite present circumstances, it is not inevitable that most women become progressive liberals. Women, much more so than men, seek social conformity. So women adopt the ideology of the current powers that be.
They also seek safety, fearing the repercussions from stepping out of social consensus. This is because women intrinsically know they cannot survive alone. In ancient tribal societies, women would be drawn to the strongest man because he could protect them. In modern society, women are drawn to progressive politicians because they create nanny-state policies to protect them and also grant them more freedom.
But those progressive policies cannot last--we are seeing the 2nd, 3rd, and nth order negative effects they have on society. It is making women less happy and society less safe. To restore safety and order (and enact more traditional social policies that will make women more fulfilled) more right-wing conservative leaders will take power--true power of the state, not merely being the figurehead in the White House for 4 to 8 years.
When the powers that be change, women will drop liberalism (and even feminism) like that. They will recognize right-wing power and be drawn to it, to consensus, and social conformity.
Women are not inherently committed to any ideology. When the Catholic Church was the predominant power, women were devout Christians. In Amish communities, women are devoutly Amish. In Nazi Germany, women were hardcore Nazis. Modern society is based on secular liberalism, so women are secular liberals. They do not think through these things; they just follow the vibes of those around them.
Change the ideology of the regime, and the ideology of women will follow.