This episode deals perennial morality as Permafrost/Maureen Connor deals with losing her mother and becoming homeless after her stepfather wants nothing to do with her.
It is left unexplained what exactly Omar's "east" is. Ramadan is the ninth month of the Islamic calendar, moving about two weeks back on the Gregorian calendar every year. In 2001, in which this episode supposedly took place, Eld ur-Flit fell on December 15th, but in 2000, it fell on December 27, which could account for this.
This is the only Christmas episode in the DC Animated Universe (DCAU) not to feature Santa Claus. Instead, it focuses on the religious aspects of the holiday, making it the most religious episode of the DCAU.
It is established by the time of this episode, that a year has gone by since the Big Bang.