She is bothered by the silly dreidel song. I, too, suspect it is not the Jewish equivalent to Silent Night. I am pretty sure had this woman gone to the music teacher and asked to teach the students a much better representative of a Hannukah song, the music teacher would have been happy with that.
One big theme of Christmas is lighting up the spirit of man by being foolish with delight in the face of the bleak season, a solace from the short cold days and the long dark freezing nights. An effort of lighting up with lights, festivities, bright cakes and decoration, effusive promises of goodwill and peace and a glittery glowing hope founded in plain belief.
It is a social effort perfectly suited for the most joyous ebullient emotion-tugging songs and music! With grog and nog to accelerate the charms of it all!
Yet Channukah is a different Holiday. Determination and Will, Zealousness for G-d, willingness to sacrifice to uphold traditions and worship, those are the human motives that set the tone of the Jewish Calendar's 25th of the Month. Those are the motives of tha Maccabees, of Hannah who saw all her children executed one-by-one by the Greeks in front of her rather than any of her beloved ones follow non-Jewish religious practise.
What are the Songs for that?