The row led Hillary Clinton to join the attacks on him at the weekend, claiming he insults and dismisses women. She also mocked his statement that he "cherishes" women.
"If it's all the same to you, Mr Trump, I'd rather you stop cherishing women and start respecting women," she said.
Clinton remains Trump's most likely opponent should he secure his party's nomination, despite a new poll showing she has fallen 11 points behind Bernie Sanders in the crucial New Hampshire primary.
Trump responded to Clinton in characteristic fashion, slating her for reciting her attack on him using "the biggest teleprompter I've ever seen", rather than speaking with emotion.
Such combativeness has made Trump the star of the Republican campaign trail so far. However, in polls measuring "favourability" he is lagging in sixth place. To that end, his supporters are counting on the appeal of his wife, on whom he relies heavily for advice and refers to as "my pollster".
She even appears to have considered what kind of kind of first lady she would be, telling the New York Times that she "would be very traditional, like Betty Ford or Jackie Kennedy".
True, neither Ford nor Kennedy never appeared in the swimwear issue of Sports Illustrated or posed naked for British GQ, or talked about their "incredible" sex life on a radio show, as Mrs Trump, a former supermodel, has done.
But she studied architecture at university in Slovenia, the country of her birth, and is said to speak four languages.
She is also a savvy businesswoman in her own right, with lines of jewellery and caviar-infused skin products.
She has been a much less visible presence than Trump's first wife, Ivana, who played a key role in his businesses before they divorced in 1992.
So involving her in the election campaign will be taken as a sign that Trump is increasingly confident of success.
Far from his campaign imploding as was widely predicted, he has lengthened his lead over rivals.
An NBC/Marist Iowa poll yesterday put him on 29 per cent, ahead of Ben Carson, on 22 per cent, and Jeb Bush, on just 6 per cent.
Sarah Palin, the 2008 vice-presidential candidate and Tea Party darling, said yesterday that she would like to serve in a Trump cabinet.