Trump was disinvited to speak at Saturday’s RedState Gathering of conservative activists in Atlanta after the celebrity real estate mogul seemed to hint that Megyn Kelly’s menstrual cycle drove her to ask him tough questions at Thursday night’s Republican debate in Cleveland.

Yet Trump has a history of similar inflammatory statements about women – both as a sex, and with reference to his antagonists and subordinates.

As far back as a 1991 interview with Esquire magazine, Trump had boasted: “You know, it doesn’t really matter what [the media] write as long as you’ve got a young and beautiful piece of [expletive]. But she’s got to be young and beautiful.”

In a 2006 book, he wrote of women as objectified collectibles: “Beauty and elegance, whether in a woman, a building, or a work of art is not just superficial or something pretty to see.”

He once sent New York Times columnist Gail Collins a copy of something she had written about him with her picture circled and “The face of a dog!” written over it.

And in 2012, he tweeted that Huffington Post founder Arianna Huffington is “unattractive both inside and out. I fully understand why her former husband left her for a man – he made a good decision.” (Huffington’s ex-husband, former congressman Michael Huffington, came out as gay after their divorce).

In Thursday night’s debate, moderator Kelly reprised other Trump comments. “You’ve called women you don’t like fat pigs, dogs, slobs, and disgusting animals,’” she said.

Trump seemed amused and replied that he was referring to comedian and actress Rosie O’Donnell.

“Your Twitter account has several disparaging comments about women’s looks,” Kelly continued. “You once told a contestant on Celebrity Apprentice it would be a pretty picture to see her on her knees. Does that sound to you like the temperament of a man we should elect as president, and how will you answer the charge from Hillary Clinton, who [is] likely to be the Democratic nominee, that you are part of the war on women?”

Trump replied that he was battling a greater scourge – political correctness – and “frankly, what I say, and oftentimes it’s fun, it’s kidding. We have a good time.”

Then, he issued what sounded like a threat: “Honestly Megyn, if you don’t like it, I’m sorry. I’ve been very nice to you, although I could probably maybe not be, based on the way you have treated me. But I wouldn’t do that.”

On Friday, Trump did exactly that. He retweeted a Twitter follower’s description of Kelly as a “bimbo” and told CNN that Kelly “had blood coming out of her eyes, blood coming out of her wherever”. Later, Trump’s campaign issued a statement maintaining that he had been referring to Kelly’s nose, not her hormonal cycle, and that “only a deviant would think anything else”.

The comment was “completely in character for Trump”, said Katie Packer Gage, a political consultant who was GOP nominee Mitt Romney’s deputy campaign manager in 2012. “What’s new is he picked on somebody who is beloved by conservative voters, and he has just doubled and tripled down on it.”

His rivals warn that Trump’s comments about women will reflect badly on the entire party.

“Give me a break. Do we want to win? Do we want to insult 53 per cent of all voters? What Donald Trump said is wrong,” former Florida governor Jeb Bush said  at the RedState event. “Mr Trump ought to apologise.”

It remains to be seen how much – if at all – the episode has damaged Trump’s standing.  

Polls to date not only show him with a strong lead over the other 16 Republican contenders, but that among GOP primary voters, women are nearly as likely to support him as men are.