Or something like that. Anyway, yeah, agreed, "Adeste Fideles" should be accepted. The Latin version of the song is at least as common as the English version, and I sometimes see the Latin name listed even in cases where the English lyrics are being used.
(And while Quizmaster is at it, I see no harm in accepting "Stille Nacht" for "Silent Night" as well.)
when I lived in San Francisco, I swear those are the only two songs that were played.