Hanukkah bush n. a small tree decorated by some (secular) Jews at the time of the Jewish holiday Hanukkah, in imitation of the Yule or Christmas tree. Editorial Note: Alexander Tille in 1892 wrote in the article “German Christmas and the Christmas-Tree” in the journal Folklore (July 1892, vol. 3, no. 2, p. 170) that in Germany “the Christmas-tree has long since broken through the barrier of different creeds, and many Jewish families have adopted it to celebrate Yuletide.” (source: Double-Tongued Dictionary)
Chanukah is the correct spelling for the jewish holiday, get it right
No Anglophone dictionary-maker agrees with you about what is “correct.” Hannukah is the more common, most-often preferred form. Either one is a valid and acceptable transliteration of the Hebrew characters ×—× ×›×” or ×—× ×•×›×”.