It was a revealing juxtaposition: a row of all-male senators, and one woman sitting in front of them. A female sex crimes prosecutor called in on their behalf to question another woman, Christine Blasey Ford, about sexual assault allegations against Judge Brett Kavanaugh. It was compounded by the fact that a few days earlier the prosecutor, Rachel Mitchell, had been referred to as — “A female assistant —” The scene shed light on a simple fact: There has never been a Republican woman on the Senate Judiciary Committee. It also foreshadowed other awkward interactions between male G.O.P. leaders and women who say they were sexually assaulted. “You have power, when so many women are powerless.” This was Senator Jeff Flake. And this was Senator Orrin Hatch. The president and Senator Chuck Grassley both floated the conspiracy theory that the protesters were backed by liberal fundraiser George Soros. “Do you believe George Soros is behind all of this?” “I tend to believe it.” For Republicans, this all points to a problem that’s bigger than optics. The gender gap in G.O.P. leadership extends beyond the committee. Of 51 Republican senators, six are women. Democrats have 17. In the House, there are 23 Republican women — and 61 Democratic ones — out of 435 members. The one overarching factor is President Trump himself, who has said it’s a tough time — not for women, but for men, who he thinks are often victims of false allegations. “Well, I say that it’s a very scary time for young men in America.” The president even went so far as to mock Dr. Blasey’s testimony at a rally. “Where is the place? I don’t remember. How many years ago was it? I don’t know. I don’t know. I don’t know.” Many women stand by the president. But in an election year, with record numbers of women running for office, only about one-quarter are Republicans. “I’ll actually support President Trump.” Those small numbers mean the G.O.P. gender gap is unlikely to shrink any time soon.