But he's been criticized by some Republicans, mostly quietly, for relentlessly supporting Trump's fallacious claims of a fraudulent election last November and for not forcefully criticizing Trump for helping provoke the deadly January 6 attack on the Capitol by his supporters. That move was sparked after Cheney, a daughter of former Vice-President Dick Cheney and a fixture of the party establishment, became one of just 10 House Republicans to vote to impeach Trump last month.
Republicans will meet later Wednesday in a conference-wide meeting to discuss the matter.
Cheney foes have said they have enough votes to force her removal from leadership.
House leadership indicated that they wanted to move on from intra-party fights over Greene and Cheney. Instead, he told cable network CNN last month that she "has a lot of questions she has to answer". And new reporting has also exposed her calls to execute Democratic politicians, including House Speaker Nancy Pelosi.
McCarthy and Greene reportedly met on Tuesday evening, but no decision was announced.
Take a step back to consider what this says about today's Republican Party: Cheney is blackballed for doing what she believes is the right thing, yet Greene receives her committee assignments, her embrace of truly unsafe ideas notwithstanding.
House Minority Leader Kevin McCarthy on Wednesday condemned Republican Rep. Marjorie Taylor Greene's open embrace of conspiratorial theories and racist views but criticized a drive by Democrats to remove her from her committees, signaling he would not yield to a bipartisan outcry to punish her.
"Loony lies and conspiracy theories are cancer for the Republican Party and our country", McConnell said in the Monday statement without mentioning Greene by name. Now, though, he has not only blasted Trump for his role in the mob attack on the U.S. Capitol, he has waded into the debate in the House of Representatives about what to do with newly-elected Georgia Congresswoman Marjorie Taylor Greene.
McCarthy has always been close to Trump.
In a tweet on Tuesday, Omar described congressional Republicans' calls for her to be sanctioned as "whataboutism".
Cole, of Norman, the top Republican on the Rules Committee, argued that the House has long left it up to each party to make decisions about committee assignments. Greene has remained under fire since her November triumph, in which she a Georgia House seat, for her allegiance to conspiracies ranging from QAnon to 9/11 and for previous inflammatory Facebook comments and likes. "If the Democrat Majority wants to go down this road, they should start by dealing with their own members who have been at this before and AFTER their election to Congress, "Babin tweeted on Tuesday".
"She's brought this on herself", Rosendale said.
"I hold her to her word, as well as her actions going forward", McCarthy said.
Greene was showing little sign of backing down.
Greene isn't the only one fundraising off of the controversy. "Liz has the right to vote her conscience".
Greene has promoted anti-Semitic conspiracy theories and suggested school shootings were faked.
Democrats will vote to remove Greene from her committee in the full House. McConnell may be living in reality, but his party is not. Only five Republicans broke with their party to say such a trial would be constitutional. Greene's comments are far more offensive and extreme than anything uttered by these Democratic members.
Seems kind of hard to argue with, doesn't it?
There are certainly political calculations at play here as well.
"Republican voters' infatuation with Donald Trump has not gone away, and pure loyalty to him and his cause will continue to be the most motivating factor for Republican voters", Buck said.