They vote Rep, but white married women vote Rep by a much higher margin.
Single women tend to vote Democratic. Married women and women with families tend to vote Republican.
Single minority women vote Dem to a much greater degree than white single women, When you have 73% out of wedlock birth rates for blacks and 53% for Hispanics, you skew the data.
According to the exit polls, whites voted Rep 60% to 38%, blacks 89% to 10% for the Dems, and Hispanics 62% to 36% for Dems.
It is difficult to find how single women voted by race. I believe it is intentional because the pollsters do not want to show that the supposed war on women is really about minority women who vote mainly along racial and ethnic lines than gender.
The key numbers are 60/40/10.
If Republicans can get 60% of the white vote, 40% of the Hispanic vote, and 10% of the black vote in the Presidential election, they will win. If they lag behind in any of those areas they will lose.
Even this year, they came close to those numbers nationally, and they routed the Dems in race after race.