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Christmas - the annual Christian festival celebrating the birth of Jesus Christ, held on 25 December

Xmas ~ informal term for Christmas

Noel (聖誕節 〔常用於歌詞, 賀卡中) ~ means Christmas as a refrain in on carols and on Christmas cards

Yule (舊)聖誕節 ~ archaic term for Christmas

Note:
Christmas simply means Christ's mass. (Cristes Maesse ~ old English) The Christian holiday celebrates Christ's birth, but there are no trustworthy records of the real date.
In northern Europe, Christmas was originally a pagan feast celebrating the winter solstice, a time when ancient people built great bonfires to give the winter god strength and to receive him.
The early church fathers wisely chose a day near the winter solstice as the date to celebrate Christ's birth, the return of light becoming associated with the hope of the world in the birth of a saviour.

refrain (noun) = （詩歌或樂曲的）疊句；副歌
solstice (noun) = 至﹐至日〔一年中最長或最短的一天〕
saviour = 救世主

Christmastide - the festival season from Christmas to after New Year's Day.
Nativity - the birth of Jesus Christ
Christmastime, Noel, Yule, Yuletide - the Christmas season

Christmas is an annual festival commemorating the birth of Jesus Christ.
Christians celebrate the birth of Jesus to the Virgin Mary as a fulfillment of the Old Testament's Messianic prophecy.

The birthday of Jesus Christ ?