Well, "Ave Maria" is literally "Hail Mary" (both the prayer and the exclamation), and since Christmas was her time in the spotlight, I can sort of see the connection. ;)
I'm partial to Fairytale of New York by the Pogues, but that's only because I'm a hopeless romantic. :laugh: Seriously, I agree that the list is too secular, and if I can't have Nat King Cole's O' Holy Night, then it has to be The Christmas Song (Chestnuts Roasting) by the same.