This is interesting, because it used to be a sort of meme going around that Rudolph and the rest of Santa's reindeer were actually all female due to male reindeer shedding their antlers in winter while the females retained theirs (shedding them in the spring). Of course, real reindeer of either sex also don't fly or look like white-tailed deer, so we probably shouldn't try to apply actual biology to Santa's special reindeer.