While it is possible for female reindeer to grow antlers, it is rare. Most female reindeer do not develop antlers because they are needed primarily for attracting mates and establishing dominance during the mating season. In the wild, male reindeer typically have larger antlers that are shed annually and grow back during the winter months. However, in captivity, it is more common to see female reindeer with antlers, as they receive more consistent nutrition and care.