He added, "I get where that's coming from", then blasted network personalities Tucker Carlson and Laura Ingraham for their views on immigration.
Buttigieg continued, "But I also believe, even though some of those hosts are not always there in good faith, I think there are a lot of people who tune in to this network who do it in good faith".
"They're putting more Democrats on than you have Republicans", Trump lamented.
"If you're not using your town hall, I will", former Rep. John Delaney, D-Md., a 2020 presidential hopeful, tweeted at Warren last week.
"Did you see this guy last night? Someone's going to have to explain the whole Fox deal to me".
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But Buttigieg's town hall appearance on Fox News was notable for another reason.
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The Democratic presidential candidate was asked by host Chris Wallace if there should be any limits placed on abortions, and Buttigieg replied with an answer similar to other candidates'.
President Donald Trump took to Twitter to criticize Buttigieg. "Oh, and covering the Democratic candidates is part of the job of a news channel".
"So it's why whether it's going into the viewership of Fox News, or whether geographically it's going into places where Democrats haven't been seen much, I think we've got to find people where they are-not change our values, but update our vocabulary so that we're truly connecting with Americans from coast to coast".
Buttigieg, the mayor of South Bend, Indiana and the only major candidate who is openly gay, was the first Democrat to appear on the right-leaning network after U.S. Senator Elizabeth Warren, a rival for the nomination, refused an invitation from Fox.
Reviving his freaky nickname for Buttigieg, Trump added: "Alfred E. Newman will never be President!"
"Beyond his Boy Scout demeanor and Mayor Pete shtick, Buttigieg is but another creation of a media apparatus desperate to oust Trump", Ingraham said. I get it. Look, it is mesmerizing.