At a birthday party for Hillary Clinton Hillary Diane Rodham ClintonJeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Momentum growing among Republicans for Supreme Court vote before Election Day Warning signs flash for Lindsey Graham in South Carolina MORE in October, Sen. Dianne Feinstein Dianne Emiel FeinsteinMcConnell says Trump nominee to replace Ginsburg will get Senate vote Top Democrats call for DOJ watchdog to probe Barr over possible 2020 election influence Intensifying natural disasters do little to move needle on climate efforts MORE (D-Calif.) delivered a toast — and a sobering thought — for the evening’s attendees: “If Hillary couldn’t win the White House, I don’t know which woman can.”

Some of the partygoers — including the former Sen. Barbara Mikulski Barbara Ann MikulskiForeign policy congressional committees need to call more women experts Lobbying World Only four Dem senators have endorsed 2020 candidates MORE (D-Md.), Sen. Kamala Harris Kamala HarrisHarris honors Ginsburg, visits Supreme Court The Hill's Campaign Report: Trump and Biden vie for Minnesota | Early voting begins in four states | Blue state GOP governors back Susan Collins Kamala Harris: Black Americans have been 'disproportionately harmed' by Trump MORE (D-Calif.) and former Secretary of State Madeleine Albright — nodded ruefully as Feinstein, standing in the doorway of a family room at the Georgetown home of major Democratic donor Elizabeth Bagley, made the remark, according to two attendees.

Months later, it’s at times hard to imagine Democrats failing to nominate a woman as their standard-bearer against President Trump Donald John TrumpUS reimposes UN sanctions on Iran amid increasing tensions Jeff Flake: Republicans 'should hold the same position' on SCOTUS vacancy as 2016 Trump supporters chant 'Fill that seat' at North Carolina rally MORE in 2020.

Some of the party’s strongest potential candidates are women, including Harris and Sens. Elizabeth Warren Elizabeth WarrenBiden's fiscal program: What is the likely market impact? Warren, Schumer introduce plan for next president to cancel ,000 in student debt The Hill's 12:30 Report - Presented by Facebook - Don't expect a government check anytime soon MORE (D-Mass.) and Kirsten Gillibrand Kirsten GillibrandSunday shows preview: Justice Ginsburg dies, sparking partisan battle over vacancy before election Suburban moms are going to decide the 2020 election Jon Stewart urges Congress to help veterans exposed to burn pits MORE (D-N.Y.).

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More pointedly, the rise of the #MeToo movement and Trump’s own controversies with women make it feel incongruous for Democrats to name a white man as their candidate in the next presidential race.

“The MeToo movement is a powerful force that could lead to Democratic midterm wins in 2018 and victory in the 2020 presidential race,” said Democratic strategist Brad Bannon.

“The presence of a female candidate way at the top of the ticket in 2020 would be the best way to harness the energy of the MeToo force; a powerful current ignited by Harvey Weinstein's behavior that could undermine Donald Trump's campaign for a second presidential term.”

While a number of strong women candidates appear likely to enter the 2020 race, they are likely to get some competition from the likes of Sen. Bernie Sanders Bernie SandersNYT editorial board remembers Ginsburg: She 'will forever have two legacies' Two GOP governors urge Republicans to hold off on Supreme Court nominee Sanders knocks McConnell: He's going against Ginsburg's 'dying wishes' MORE (I-Vt.), former Vice President Joe Biden Joe BidenMomentum growing among Republicans for Supreme Court vote before Election Day Trump expects to nominate woman to replace Ginsburg next week Video of Lindsey Graham arguing against nominating a Supreme Court justice in an election year goes viral MORE and Sen. Cory Booker Cory Anthony BookerBipartisan praise pours in after Ginsburg's death DHS opens probe into allegations at Georgia ICE facility Democratic lawmakers call for an investigation into allegations of medical neglect at Georgia ICE facility MORE (D-N.J.), among others.

And Trump’s own surprise run to the 2016 GOP presidential nomination shows the foolishness of political predictions.

Some Democrats also say it makes little sense to nominate a woman as the party’s candidate just on the basis of gender.

One senator who spoke to The Hill on condition of anonymity said colleagues are talking more about prioritizing the need to find a candidate who is tough, authentic and credible regardless of gender.

Sen. Christopher Coons Christopher (Chris) Andrew CoonsBiden promises Democratic senators help in battleground states Shakespeare Theatre Company goes virtual for 'Will on the Hill...or Won't They?' The Hill's Morning Report - Sponsored by The Air Line Pilots Association - Pence lauds Harris as 'experienced debater'; Trump, Biden diverge over debate prep MORE (D-Del.) said he does not think the Democratic nominee’s gender is “as critical as having someone who can draw a sharp contrast with an incumbent president who has been accused of sexual assault by 18 or 19 people, who has bragged on tape about committing sexual assault.”

“I think that is one of many areas where the American people are going to look for us to draw a sharp contrast with the incumbent president,” Coons said.

Feinstein’s comment also highlights questions within the party about whether latent sexism in the U.S. culture would hold a woman back in 2020.

There’s a lurking feeling in the Democratic caucus that Clinton’s gender may have hurt her in battleground states such as Michigan, Wisconsin and Pennsylvania, which voted for a Republican in 2016 for the first time in decades.

“Misogyny is out there and is a factor whether people want to admit it or not,” said one senior Democratic aide.

Other Democrats say the selection of the nominee should not be so contrived.

“Democrats should know better than to be cornered by a ‘woman’ mandate,” said Democratic consultant Tracy Sefl, who served as a surrogate on Clinton’s 2016 presidential campaign. “Voters have already shown they’re looking beyond gender. I’d like to believe that the party will be most eager to put forth a candidate who embraces the #MeToo movement. To whatever close degree the movement resonates with that candidate, woman or man, we need a candidate who be interested in helping propel this stunning cultural shift.”

Feinstein said she has become more optimistic about the prospect of a woman becoming president since expressing her doubts at the Georgetown event.

“I think there’s been a change since I said that which makes it more possible for a woman to be elected,” she said. “But I think it’s difficult. There’s no question, it’s still difficult,” Feinstein told The Hill.

Feinstein said the enthusiasm of the #MeToo movement has made the chances of a woman winning the presidency seem more realistic.

“What’s changed is the strength of women. Women getting out and voting. Women coming together. The #MeToo movement. All of this puts the woman more in the position of being accepted.”

Even if a woman isn’t on the top of the ticket in 2020, one Senator predicted it will be a diverse team. “It’s not going to be two white men, I can tell you that,” the lawmaker said.