Bonjour Martin,
"parler de ce drole de mot réveillion" --> to talk about this odd / strange word "réveillion"
https://www.wordreference.com/fren/r%C3%A9veillon
The term drôle here (chose singuliére) is not thinking of the word as funny or bizarre but more as strange or odd given that it is referring to an Xmas Eve or New Year's Eve dinner.
This is my understanding -- hope you find it helpful.
Bonne journée
Jim