Democrats wrestled for days about whether or how to punish Omar, a freshman from Minnesota who has been dogged by accusations of anti-Semitism since she accused "evil" of Israel of "hypnotiz [ing] the world" in 2012.
The Jewish Democratic Council of America slammed the president.
Blackwell pointed out that Republicans "have said "nobody knows what's in President Trump's heart" and you have said 'I don't know what's in his heart but I know what comes out of his mouth.' Are we not judging them by different scales here?"
The Orthodox Union welcomed the measure but said "it would have been better for the House of Representatives to respond to recent incidents of anti-Semitism with a resolution exclusively addressing that topic".
On Thursday, Pelosi helped push through a House resolution aimed at condemning "hate" with the support of Omar and other Democrats in Congress.
But following internal Democratic disputes, the motion was broadened out to include all forms of bigotry, including Islamophobia and discrimination against other minorities. "The Democrats have become an anti-Israel party".
House Speaker Nancy Pelosi said she did not believe Omar's remarks were meant to be anti-Semitic. So Ms. Pelosi, the leader of the House of Representatives, swore she would generate legislation that would make Ms. Omar's remarks prohibited and off limits for the House in the future.More news: Daesh nears end as hundreds leave Baghouz
"I don't think that the congresswoman perhaps appreciated the full weight of how it was heard by other people, although I don't believe it was intended in an anti-Semitic way", she explained.
"She deserves to be rebuked, by name, and removed from the House Foreign Affairs Committee so that there is no mistake about the values and priorities that the House stands for".
Trump proclaims himself as Israel's closest ally, having moved the United States embassy from Tel Aviv to Jerusalem, and forged a close alliance with Prime Minister Benjamin Netanyahu.
"Something that is one resolution, addressing these forms of hatred, not mentioning her name because it's not about her", she explained.
"The issue for me is we're not condoning anti-Semitism or anti-Muslim sentiment", she said.
Pelosi concluded by pointing out her confidence that Omar's remarks were more innocent than some people were willing to take them.
On Friday, she double down, saying, "I don't think our colleague is anti-Semitic" but that she "didn't realize" that her words were "fraught with meaning".