You can think about this link in two terms:
First, what is the association of magical powers with gender here? Are Mak and Gil seen as magical and threatening to the natural order in the same way? What is the significance of his association with manual labor in the field compared to her labor as a housewife and mother? (There is discussion in the Labor Narrative to help you here.)
Another link involves the relation between magic, social order, and music. The shepherds try to sing but produce only noise that serves as a figure for moral confusion and ignorance; moral confusion and ignorance are also characteristic of magic, since magic too inverts true belief. But what happens when the angel points them to the true way? They they sing in beautiful harmony: that is, their way of knowing is no longer false but true. Magic in the play is adjacent to criminality; it is precisely the opposite of true belief. Does this imagistic use of music connect to other ideas of social order in the poem and other ways--e.g. incantations--that threaten to subvert it?
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