This is one of the White Witch's deer from the book "The Chronicles Of Narnia: The Lion, The Witch, And The Wardrobe".
Here's the books descriptions of them:
"The reindeer were about the size of Shetland Ponies, and their hair was so white that even the snow hardly looked white compaired to it. Their branching horns were gilded and shone like something on fire when sunrise hit them. Their harnesses were scarlet leather, and covered with bells." -- C.S. Lewis, 'The Chronicles Of Narnia: The Lion, The Witch, And The Wardrobe', Copyright 1950
Seriously, that's what the book says. I just copied it down into the drawing.
Timer's not lyin', how did I do?