Start with this: there is no intrinsic, enumerated right to vote in the Constitution …Only if you regard the 15th Amendment as not part of the Constitution. That is the first amendment to include the phrase “right to vote”.
14th amendment, section 2
“But when the right to vote at any election...”
TR was not all that bad and did some very good things.
After women got to vote we got nearly 4 terms of Franklin D Roosevelt socialism. Then we got John Kennedy Socialism. Then we got Lyndon Johnson Socialism. Then we got Jimmy Carter stupidity. Then we got human garbage Bill Clinton. Then we got race hustler Barack Obama, we almost got the horrible witch bitch Hitlery, and finally we got the dumbest most corrupt piece of sh*t we could have gotten.
So one mistake with Wilson under the old system, versus many far more serious mistakes after the 19th.
Actually,

White women have been more likely than White men to identify as Democrats over the past several decades, though the gender gap has grown over time. In 2018 and 2019, 48% of White women identified as Democrats, compared with 35% of White men. By comparison, White men were more likely to identify as Republicans than White women in 2018 and 2019 (58% vs. 47%).
Among Hispanic voters, majorities of women and men identify as Democrats, but this is especially the case among Hispanic women (67% identified as Democrats vs. 58% of Hispanic men in 2018 and 2019). Similarly, Black women (87%) were more likely than Black men (77%) to identify as Democrats, even though large majorities of both did so. In 2018 and 2019, the gap between Black women and Black men identifying as Democrats was the widest it has been since measurement began....college-educated women (65%) were much more likely than college-educated men (48%) to identify as Democrats in 2018 and 2019. - https://www.pewresearch.org/fact-tank/2020/08/18/men-and-women-in-the-u-s-continue-to-differ-in-voter-turnout-rate-party-identification/