
The Twelfth Doctor wearing antlers. (TV: The Husbands of River Song [+]Steven Moffat, Doctor Who Christmas Special 2015 (BBC One, 2015).)
Reindeer antlers made of fabric and attached to a headband were commonly worn at Christmas time.
Wilfred Mott wore two pairs over his hat. (TV: The End of Time [+]Russell T Davies, Doctor Who Christmas Special 2009 and New Year Special 2010 (BBC One, 2009-2010).)
In an alternate timeline, Wilfred also wore two pairs of fabric antlers on Christmas 2008. Sylvia Noble told him to take them off, but Wilf refused, because "it [was] Christmas". (TV: Turn Left [+]Russell T Davies, Doctor Who series 4 (BBC One, 2008).)
On Christmas Day 5343, the Twelfth Doctor was wearing a pair of antlers when he first met Nardole. (TV: The Husbands of River Song [+]Steven Moffat, Doctor Who Christmas Special 2015 (BBC One, 2015).)