“We don’t want these issues to derail the relationship,” said Steve Hunegs, the executive director of the Jewish Community Relations Council of Minnesota and the Dakotas, who said he was “appalled” by Ms. Omar’s most recent remarks.

Omar’s district, which spans Minneapolis and some of its inner-ring suburbs, is a place attuned to religious tension. Longtime members of the Somali community still speak about the profiling they experienced in the years after the Sept. 11, 2001, attacks and about the fear they felt after a mosque was bombed by white supremacists in nearby Bloomington in 2017. In those difficult times, the Times quoted them saying, Jewish leaders in Minnesota made a point of stating their support.

“When religion is under attack, they stand by us, because they’ve been there,” said Zahra Ali, a Somali-American resident of Minneapolis who once saw Ms. Omar’s election as a beacon of hope but who did not plan to vote for her again.

“For her to go out there and target, on a daily basis, Jews, is very sad,” Ms. Ali said.