Time Lords don’t celebrate Christmas, of course. Why would they? But apparently the Gallifreyan holiday of Rassilonmas bears some striking similarities to Christmas. This may explain the strange convergence of the Doctor’s travels and the midwinter Earth celebration.
If you’re honoring the Earth traditions, you may be interested in this Christmas ornament, from crafter Alyssa Mazzina:
Made to order and available for sale StickyChicBoutique on etsy.
(If you stumble across a cool Doctor Who thing, feel free to email me with a link.)