I don’t think that gender issues are salient for US voters right now.
That doesn’t mean, though, that the Republicans can’t make them so as the election draws closer.
Even still, the issues may not draw voters to the polls, but they may depress turnout, creating a “pox on both your houses” effect.
Where this matters most is in the Rust Belt swing states where Dems who’d voted twice for Obama didn’t turn out for Clinton.
Clinton’s difference in popular vote cane from two states: California and New York. The Electoral College has been in place for 230 years. Clinton knew this and should have campaigned accordingly; she didn’t. She was badly advised by Robbie Mook, who also badly advised Theresa May’s election.
The Democrats have to quit complaining about the Electoral College and instead deal with the fact that the states they call “flyover” will NEVER consent to rule by California and New York. They have to start actually campaigning in those states. That actually was the plan — Howard Dean’s Campaign in Fifty States project launched in 2004 — until Obama in 2009 as head of the party cancelled that project and removed Democratic Party workers from the “flyover” states.
The United States is NOT a democracy. It is a republic, comprised of 50 semi-sovereign states. Canada has a somewhat similar set-up, which is why Trudeau was just re-elected with fewer popular votes than the conservatives.