Christian conservatives, for more than two decades a pivotal force in American politics, are grappling with Election Day results that repudiated their influence and suggested that the cultural tide — especially on gay issues — has shifted against them.

They are reeling not only from the loss of the presidency, but from what many of them see as a rejection of their agenda. They lost fights against same-sex marriage in all four states where it was on the ballot, and saw anti-abortion-rights Senate candidates defeated and two states vote to legalize marijuana for recreational use.