House Democratic leaders have put off a vote on a resolution condemning anti-Semitism and bigotry after a backlash from rank-and-file lawmakers who said Representative Ilhan Omar, whose comments gave rise to the measure, was being unfairly singled out.

Representative Steny H. Hoyer of Maryland, the No. 2 Democrat, told reporters on Wednesday morning that the language of the resolution was still being drafted and no date for a vote had been set.

Democrats, including some prominent African-Americans, confronted Speaker Nancy Pelosi at a testy closed-door meeting on Tuesday, demanding to know why they were being pushed to pass the resolution when bigoted comments by Republicans have gone unchallenged. Representative Ayanna Pressley, Democrat of Massachusetts, said she told leadership that there must be “equity in our outrage,” noting that Ms. Omar, a Minnesotan and one of the first two Muslim women elected to Congress, was being attacked for her faith.