Unfortunately most white women have been Republicans for over 60 yrs due to their suicidal belief in Nazi eugenics. All through the legalization of reproductive rights first for married couples, then single people, etc., most white women have voted no. They're still mostly voluntary Handmaids.
The lighter-skinned non-black women of color are not much better. Trump got 46% of Latinas, 40% of Asian women and a majority of other women of color. Black women stand alone in near-total opposition to GOP Handmaid bullshit. Even black men are far more pro-choice voters than any non-black women.
White men are only a bit over 30% of the population. They cannot oppress 70% without a LOT of help.