Doodle thank you for the Christmas wishes.
I don't think anybody will be offended by you having that sentiment, I think its a silly made up thing by people trying to stir up trouble, when they say that people are offended by "Merry Christmas". I don't mean you, I mean the people who have made sincere people like yourself think that celebrating something that is important to you, and wishing anybody those kind things would offend them. I'm sure it doesn't.
Personally, I'm atheist, but of course "Merry Christmas" doesn't offend me. Happy Holidays in used in the US because there are other holidays around his time, so its just more inclusive; Kwanzaa, New Year, even the Solstice.
So from me, Happy New Year when it comes Doodle. That's the Scottish way of doing things 