In short, the writer tried to make a story out of nothing. There are no responses from Hillary on any issue other than extra days off for parents. Which, what about non-parents? Wouldn't that open a discrimination can of worms? Just because someone doesn't have kids they don't get the same paid time off? That's another post.
Anyway, while reading the article, I get the impression she's afraid to open her mouth about anything. There just isn't enough room for any more feet yet.