"Miss" highlights the fact that McConnell is very widely rumored to be America's most prominent closeted homosexual.
Woman: Why are they saying that? What can it mean?
Man: I think it was a jibe at 'Miss McConnell'?
Woman: Why are you calling my dear leader in the Senate 'Miss'?
Man: Because he's a closeted homo.
Man: Yup, just imagine what else 'Miss McConnell' is lying to you about.