He told CNN in a Sunday interview, "Do you think I'd make a statement like that? Who would make a statement like that?"
Trump was referring to what he had earlier told CNN, the day after the Fox News GOP debate Thursday, where Kelly questioned him on his history of derogatory comments toward female opponents, to which he responded:
"Honestly, Megan, if you don't like it, I'm sorry. I've been very nice to you, although I could probably not be based on the way you've treated me."
Trump said the next day, "You could see there was blood coming out of her eyes. Blood coming out of her wherever."
But, he told told Jake Tapper on State of the Union, what he meant by "wherever" was her nose.
"Only a deviant would say that what I said was what they were referring to, because nobody would make that statement," Trump said. "You almost have to be sick to put that together."
Trump's comment about Kelly got him booted from Erick Erickson's RedState Gathering in Atlanta, where he had been slated to appear Saturday night.
"His comment was inappropriate. It is unfortunate to have to disinvite him. But I just don't want someone on stage who gets a hostile question from a lady and his first inclination is to imply it was hormonal," Erickson wrote Friday, announcing his decision. "It just was wrong."
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Others in the GOP field have also condemned Trump's remarks. Carly Fiorina Tweeted Friday: "Mr. Trump: There. Is. No. Excuse."
In a statement obtained by PEOPLE, Rick Santorum appeared to indirectly address the issue, saying, "Enough is enough.
"We should and must address serious issues facing our nation, but name-calling and crass personal attacks is beneath the office we are running for."
Kelly has not spoken publicly about Trump's comment.
In a statement obtained by PEOPLE on Saturday, the Trump campaign reiterated his explanation and said, "Mr. Trump made Megyn Kelly look really bad – she was a mess with her anger and totally caught off guard."
"By the way," the statement continued, "the guy (Erick Erickson) who made the decision about RedState called Supreme Court Justice David Souter a 'goat [expletive] child molester" and First Lady Michelle Obama a 'Marxist Harpy.' He was forced to make a humbling apology."