"Christmas" by default means Jesus, as in Christ + Mass. So if a person doesn't believe in Jesus then call it the "Holidays", if it's that important to you to separate Jesus from Christmas.
However, to forbid Christians to add Jesus to their own religious holiday is discrimination against a particular faith. Consider if it is discrimination to forbid Jewish believers to explain the meaning of "Hanukkah" or an Afro-American who explained the meaning of "Kwanzaa" or "Festivus" for the Seinfield adherents?
So, for those hung up on Christians connecting Jesus with Christmas, you need to reflect internally for a moment on the meaning of discrimination. Because that is you, if you don't let me have my Jesus in my Christmas.
Then use the neutral word "Holiday" if you don't mean to include Jesus in your observance. I've no problem with your choice of words: "Holiday", "Hanukkah", "Kwanzaa", "Festivus" or whatever. I promise I won't lecture you or try to deny you the faith you choose, if you just give me the same right of freedom.
As for me, Christmas means the birth of Jesus. Jesus is my God. He is the purpose of my observance. To forbid my rights to observe my own Holiday is just elitist bigotry.
Just my thoughts.
We should all remember that Christians have a right to worship God in their own manner just like the rest of the world.
Discrimination and bigotry is still the same even when slapping Christians over the meaning of Christmas. It is NOT a secular word. It has specific religious (and therefore sacred) meaning to people. Christmas means the birth of Jesus. Period.
Use the non-specific "Holiday" if you wish to be secular.