Other members here could discuss this at more length than I could.
I don't know but the etymology of the word "Christmas" does suggest "Christian" associations. I'm sure you'll agree though that Christmas is much more than a word and its etymology is only one aspect.
However I think the important things to take is that Christmas isn't an entirely Christian invention. It is an amalgamation of various practices from other religions and cultures that evolved over time e.g.
The date was an approximation of the winter solstice and celebrated by Pagans and actually probably not Jesus's birthday.
The use of fir trees was adopted from Pagans too.
A mid winter feast was a common occurrence and helped ease the transition of pagans by the Romans to Christianity.
This is opposed to the notion that this was celebrated by Christians every year since 24th December 0000 that my little sister thinks happened.
From my understanding these are the accepted beliefs of credible historians.
Sources:http://www.essortment.com/all/christmaspagan_rece.htmhttp://www.simpletoremember.com/vitals/ ... lStory.htm