Sen. Susan Collins (R-Maine) told reporters, "I have said that I believe Liz Cheney is an honorable, courageous individual who did what she thinks is right, but it's up to the House to choose its own leaders, it's not up to senators".
Stefanik said she is "truly honored and humbled" by the fact her colleagues supported her for her new post Friday.
Others in the party fear, however, that the ouster of Cheney might alienate independents and other wavering voters, especially with images of Trump supporters storming the Capitol still fresh in Americans' minds.
The Wyoming Republican said that Fox News had an "obligation" to make sure viewers knew a second term in the White House wasn't stolen from former President Donald Trump in November past year as Baier defended the network.
Stefanik's name was quickly floated as a replacement for Cheney, who had successfully warded off an attempt on her leadership position in February.
Rep. Chip Roy, R-Texas, left, listens during the House Oversight and Reform Committee markup of a resolution authorizing issuance of subpoenas related to security clearances and the 2020 Census on Tuesday, April 2, 2019.
The victor will chair the House Republican Conference, the party's No. 3 leadership position.
She has remained a Trump booster and joined him in casting doubt on the validity of the 2020 election, despite findings by judges and local officials that there was no evidence of widespread fraud.
House Republican leaders, along with many in their rank and file, pushed Cheney out on Wednesday because they had concluded her battle with Trump was distracting from attacks on Democratic President Joe Biden and threatening their prospects in the 2022 congressional elections. "Today, I humbly ask to earn your vote for House Republican Conference Chair to unify our message as a team and win the Majority in 2022". The former president has publicly flirted with the idea of another candidacy.
Her voting record is among the most moderate of all House Republicans', according to conservative groups' ratings.
But as her district shifted hard in favor of Trump, so did Stefanik. Cheney, the daughter of former Vice President Dick Cheney, also said that she won't leave the Republican Party. She voted with Trump less often than Cheney and had lower scores from the American Conservative Union and Heritage Action for her votes. But the pair diverged most notably on Trump and his role in the GOP. Cheney calls him "an ongoing threat" to US democracy.
Cheney voted to certify the electoral results from the 2020 presidential election.
House Minority Leader Kevin McCarthy (R-Calif.), in a letter to House Republicans, announced the vote to remove Cheney from her role because members were concerned about her messaging ahead of the midterm elections, suggesting that the Wyoming congresswoman was becoming an increasingly divisive figure within the party.
But even after her ousting, Cheney remains firm in her stance. "I'm going to do everything that I can, both to make sure that that never happens, but also to make sure that the Republican Party gets back to substance and policy".