Billy Jean

A song has been annoying me for a while now as its lyrics are just plain stupid.

The song that I am on about is Billy Jean by Michel Jackson, and the lyrics keep looping around the points that Billy Jean is not his lover, so I automatically think he’s talking about a girl, well it’s that and he kept referring to BJ as a member of the female sex e.g. “Billy jean is not my lover she’s just a girl that says...” and then he claims some ludicrous stuff about Billy Jean not being his son when logical he is stating a thing which is really an impossibility if he was a girl how could he be defined as a son? daughter maybe but not son so where did the implications come from.
Plus if he did have a son that was actually called Billy Jean how much of a complex would the child have;