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Donald Trump says he's got nothing to apologize for and that he cherishes women. Pictured: Trump answers a question at the first official Republican presidential candidates debate of the 2016 U.S. presidential campaign in Cleveland, Ohio, in this file photo taken Aug. 6, 2015. Reuters/ Brian Snyder

UPDATE 5:15 p.m. EDT: Later Sunday Donald Trump took to Twitter again, this time to dump on Carly Fiorina, saying she has "zero chance" to win the Republican nomination. "I just realized that if you listen to Carly Fiorina for more than 10 minutes straight, you develop a massive headache," Trump wrote.

CBS noted this was a turnaround from three days ago when he called her "an effective debater," but it followed Sunday's talk shows, in which Fiorina said women knew what Trump meant when he said Megyn Kelly had "blood coming out of her wherever" when she asked him tough questions during Thursday's debate.

Original post:

Republican presidential candidate and real estate mogul Donald Trump made the rounds of Sunday morning political talk shows to defend his recent attack on Fox News host Megyn Kelly. Speaking via phone, he insisted his comments that she had "blood coming out of her wherever" during the first GOP debate warranted no apology and said he cherished women.

"Women are tremendous," Trump said on ABC's "This Week." "I've had such an amazing relationship with women in business. They are amazing executives. They are killers."

Trump had taken aim at Kelly, who co-hosted the debate Thursday night, for asking him unnecessarily tough questions, like one about him insulting women as "fat pigs" and "dogs." Complaining about Kelly's demeanor to CNN, Trump said, "You could see there was blood coming out of her eyes, blood coming out of her wherever."

The remark caused commentator Erick Erickson to disinvite Trump from his RedState Gathering Saturday in Atlanta and political adviser Roger Stone's departure from Trump's team, though there's disagreement over whether Stone resigned or was fired.

But Trump refused to back down Sunday. Only "sick" or "deviant" people would think he was referring to menstruation with the blood statement, he said. He meant nose or ears.

Opponent and former Hewlett-Packard executive Carly Fiorina, fired back. "Women understood that comment. And yes, it is offensive," she said on CNN's "State of the Union." "And as I made my way up in the business world, a male-dominated business world, I've had lots of men imply that, um -- I was unfit for decision-making because maybe I was having my period."

Gov. John Kasich of Ohio, who also is seeking the GOP nomination, said Trump doesn't "bother" him. Asked if Trump is damaging the Republican party, Kasich said he doesn't look at it that way.

"I think, at the end of the day, you have a nominee. And the nominee is the person that reflects the views of the Republican party. And all the things that go on in these primaries are just simply things that are, you know, they go on today, but they're forgotten tomorrow," Kasich said.

Trump continued to defend himself, arguing on NBC's "Meet the Press" the debate would have had 2 million viewers, not 24 million, had he not participated. He said he wanted to talk about jobs and the economy, so Kelly's questions were unfair.

"When I'm attacked, I fight back," Trump added. "When I was attacked viciously by those women, of course, it's very hard for them to attack me on looks, because I'm so good looking.”