A clear majority of white evangelical women, even in the face of the #MeToo movement and renewed claims of marital infidelity against the president, continue, along with white evangelical men, to form Mr. Trump’s most cohesive block of support.

Mr. Trump’s ability to connect so strongly with evangelical voters was among the most notable surprises of the 2016 campaign. Since his election, he has courted evangelical leaders aggressively and, more important, has delivered on promises to appoint conservatives like Justice Gorsuch to federal courts. Men who see themselves as leaders of religious conservatives, such as Franklin Graham, Jerry Falwell Jr. and Tony Perkins, the president of the Family Research Council, have remained doggedly supportive.

And the majority of evangelical women remain in his corner.

But it has not been easy.

“I don’t know any evangelical woman who is going to defend the character of the president,” said Carmen Fowler LaBerge, host of “The Reconnect,” an evangelical-centered radio show.

“Many things the president says and does are things that many evangelicals use as examples with our kids of what we should not do,” added Ms. LaBerge, who did not support Mr. Trump in 2016. “This is not who we are as evangelicals. This is not how we treat people.”

Some evangelical women simply keep their views private. Gathered at a well-appointed home in Falls Church, Va., last week, eight Christian women agreed to talk about their feelings about the president, on one condition: that they not be identified.

They feared reprisal in the workplace, at their children’s schools, even at their church. They meet in secret and have a private Facebook group, which its organizer said has about 160 members, to talk about their support for Mr. Trump.

They said that Christian voters who backed Trump had been derided as unthinking, unsophisticated hypocrites, but for many of them that only affirmed their resolve. One of the women said that her parents had come to the United States illegally from El Salvador and that she was born a short time later. Her father is now a citizen. She supports Mr. Trump and his hard-line plans on immigration.