But leaves behind stubble [anonymouse/Chalky] I think the line does scan if you treat "woman says" as a feminine rhyme ("A man's got to do what his woman says", rather after the manner of "A marvellous bird is the pelican.
But it does mean players have to find something to rhyme with "woman says", which is arguably a bit of a mean challenge to set... as there aren't many rhymes for "woman" or "says".