The first step in the process of electing a candidate for office or giving someone an award is nomination. When someone is officially recommended as a contender, that's their nomination.
Your nomination for Best Animated Film in a film festival means that you're one of the directors who will be up for the award. A nomination is a huge honor in itself, because it means you've been chosen to be on a short list of possible winners. During presidential elections, major party nominations are usually made after a primary election—the party's nomination is its official endorsement of a candidate. The Latin root, nominationem, means "a naming."