Michelle Goldberg opines on "Clinton dead-enders and the crisis in the women's movement." Presumably, "anti-feminist" = anti-abortion.
Amy Sullivan asks "Why Didn't More Women Vote for Hillary?" She distinguishes between "optimist and pessimist feminists." The "pessimists" think Clinton is the one chance we have to get get a woman President. They have "outmoded" ideas about sexism and workplace barriers or think in terms of their own life experience facing barriers. But there are plenty of "optimists" who think things are going rather well for women and more female candidates will be coming along soon.
And then there's this idea that Obama is actually "the girl in the race": "Clinton came out tough; she voted for the war. Obama came out as the person bringing people together and offering messages of hope and reconciliation." Sullivan is quoting someone else there. The notion is that women bring something different to politics. Of course, if Clinton had acted as if she wanted to bring femininity to the presidency, she wouldn't have gotten as far as she did. So then, maybe only a man can openly offer to do those stereotypically feminine things.