Which woman? I suppose it would be better as "women's health". Or is it intended as some sort of abstract woman? Perhaps a capital W might work if that's what is meant.
Build a man a fire and he's warm for a day. Set a man on fire and he's warm for the rest of his life.
Yes, I am sure that's why the sic. It was by a columnist whom I consider to be smarmy, snarky and less than brilliant. So clearly I am biased. However, my take on it was that the "a" was understood. I realize it's usually "women's health," but I think it could also be "a woman's health."
Without full context, it's difficult to say, but I'd suggest it would normally be women's health. That is, the health of women. If the writer were talking about a particular (unnamed, for some reason) woman I'd agree, Kalleh, but I don't think so. The only other construction is the use of woman as some sort of archetype (with or without a capital letter as I mentioned earlier), rather like in the feminist anthem by Helen Reddy "I am Woman". In that case no article would be used.
Build a man a fire and he's warm for a day. Set a man on fire and he's warm for the rest of his life.