"Doesn't he know that this will destroy his ratings with women?"
First of all, it only boosts his ratings with Republican women, who loathe Hillary and enjoy seeing a man not being afraid to call her out on her shameless pandering to gender politics, when the real issues are the economy, the government, foreign policy, and so on.
But it turns out that exasperation over Crooked Hillary's playing the woman card is widespread among Bernie voters, too. Although I haven't been following the Dem race too closely, it sure sounds like every time she's criticized by the Sanders supporters, she hides behind empty charges of sexism.
Here are just a few examples among the hundreds of thousands for the trending hashtag #DropOutHillary, where the Bernie crowd is reacting to Trump's securing the nomination by arguing that their populist candidate should be the one to take on the Republican populist:
As a woman I am so sick of the HRC camp crying sexism every time someone ?'s her Record & Judgement #DropOutHillary pic.twitter.com/ULswaNZJvh— carrie newman (@carriechelle1) May 4, 2016
PSA: People are not tweeting #DropOutHillary because she's a woman. Its because she's a lying, obnoxious criminal.— Princess Heather (@xxHeatherxox) May 4, 2016
#dropouthillary because u DONT represent what a strong smart accomplished woman truly is.Stop with the gender card. pic.twitter.com/adgHPxcyQt— Myridehome7801 (@Myridehome7801) May 5, 2016
So, Trump's remark about "the woman card" is only echo-ing what the Bernie babes themselves are accusing Crooked Hillary of doing. And they are certainly much angrier about it than Trump, which makes his take on it seem more cool-headed and Presidential.
He doesn't need to court the hardcore Hillary voters. By shaming her for playing the woman card, Trump builds a more and more convincing bridge for the disaffected Sanders supporters to walk across in November. There's more than one kind of material that goes into building that bridge -- it's not just her stance on ruinous trade deals, it's also her entitled attitude while hiding behind being a woman. The Bernie babes can't stand that any more than we can.