“Think about it: Omar wears a hijab,” Ms. Pirro said. “Is her adherence to this Islamic doctrine indicative of her adherence to Shariah law, which in itself is antithetical to the United States Constitution?”

Her comments were widely condemned as prejudiced, including by a Fox News producer, Hufsa Kamal, who wrote to Ms. Pirro on Twitter: “can you stop spreading this false narrative that somehow Muslims hate America or women who wear a hijab aren’t American enough? You have Muslims working at the same network you do, including myself.”

Fox News responded on Sunday, about 24 hours after Ms. Pirro’s show was aired. “We strongly condemn Jeanine Pirro’s comments about Representative Ilhan Omar. They do not reflect those of the network and we have addressed the matter with her directly,” the network said in a statement.

Ms. Pirro, whose fiery monologues have helped her show’s ratings, sounded less contrite. “I’ve seen a lot of comments about my opening statement from Saturday night’s show and I did not call Representative Omar un-American,” she wrote in a separate statement. “My intention was to ask a question and start a debate, but of course because one is Muslim does not mean you don’t support the Constitution.”

Ms. Omar caused an uproar in Washington recently after making remarks in Congress that were attacked as anti-Semitic, leading the House to pass a resolution last week condemning intolerance.

Mr. Carlson came under fire late Sunday after the initial report by Media Matters, including a clip in which he used lewd language to describe Alexis Stewart, the daughter of Martha Stewart, and said, “I just wanted to give her the spanking she so desperately needs.”

Mr. Carlson, a provocateur who enjoys flouting notions of political correctness, has been called out for misogynist comments before. In 2015, he defended his brother after an email exchange showed his brother making deeply sexist remarks about a female aide to Mayor Bill de Blasio of New York.