https://fivethirtyeight.com/features/women-won-the-right-to-vote-100-years-ago-they-didnt-start-voting-differently-from-men-until-1980/A really good article from FiveThirtyEight. It suggests that when (mostly white) women gained the right to vote, they tended to be wealthier. Many women continued to not vote, because they had grown up believing that their gender did not belong in politics, the article states. By the 1970's women started finally voting at the same rates as men, but did not start leaning Democratic until 1980, when the Republican Party railed against the ERA and shifted rightward.
That makes a lot of sense if you ask me.