Fox News's Brit Hume hit back at President Trump Donald John TrumpBiden on Trump's refusal to commit to peaceful transfer of power: 'What country are we in?' Romney: 'Unthinkable and unacceptable' to not commit to peaceful transition of power Two Louisville police officers shot amid Breonna Taylor grand jury protests MORE on Monday after he criticized the network for hosting a town hall with South Bend, Ind., Mayor Pete Buttigieg Pete ButtigiegThe Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November Buttigieg stands in as Pence for Harris's debate practice Hillicon Valley: FBI, DHS warn that foreign hackers will likely spread disinformation around election results | Social media platforms put muscle into National Voter Registration Day | Trump to meet with Republican state officials on tech liability shield MORE.

"Say this for Buttigieg. He’s willing to be questioned by Chris Wallace Christopher (Chris) WallaceNearly 40 Democratic senators call for climate change questions in debates Webb: Political Reality Check The Hill's Morning Report - Sponsored by Facebook - GOP closes ranks to fill SCOTUS vacancy by November MORE, something you’ve barely done since you’ve been president," Hume tweeted, quoting Trump's initial criticism.

"Oh, and covering candidates of both parties is part of the job of a news channel."

Say this for Buttigieg. He’s willing to be questioned by Chris Wallace, something you’ve barely done since you’ve been president. Oh, and covering candidates of both parties is part of the job of a news channel. https://t.co/D8yQE2kfYF — Brit Hume (@brithume) May 19, 2019

Trump blasted the network Sunday night for "wasting airtime" by covering Buttigieg and other 2020 Democratic candidates.

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"Hard to believe that @FoxNews is wasting airtime on Mayor Pete, as Chris Wallace likes to call him," the president tweeted, referring to Buttigieg and the Fox News host.

"They forgot the people who got them there. Chris Wallace said, 'I actually think, whether you like his opinions or not, that Mayor Pete has a lot of substance...fascinating biography.' Gee, he never speaks well of me - I like Mike Wallace better...and Alfred E. Newman will never be President!" Trump added, doubling down on his comparison of the mayor to Mad magazine character Alfred E. Neuman.

Buttigieg and Sens. Amy Klobuchar Amy KlobucharSocial media platforms put muscle into National Voter Registration Day Battle lines drawn on precedent in Supreme Court fight Sunday shows - Ruth Bader Ginsburg's death dominates MORE (D-Minn.) and Bernie Sanders Bernie SandersOutrage erupts over Breonna Taylor grand jury ruling Dimon: Wealth tax 'almost impossible to do' Grand jury charges no officers in Breonna Taylor death MORE (I-Vt.) have participated in events on Fox News despite the Democratic National Committee announcing in March that it would not allow Fox News to host any of its presidential primary debates this cycle because of its close ties to the White House.