The Huntress lies dormant until she is wrongfully banished during the day. After a successful banishment vote, you’ll say “The Village has voted to banish … (pause for dramatic effect) .. A Villager!”
At that point, characters normally leave the circle for the after life, but the Huntress stands and, without discussion and without any prompting from the moderator, mimes the withdrawing of an arrow from her bag, pulls it back like an archer and fires it into another player, killing that player. Optionally, the Huntress can fire the arrow into the air, which kills no-one.
If the Huntress tries to start a discussion like “Who should I kill?” or leaves the circle without doing the action, then the Huntress does not get to fire the arrow.
When introducing this character, you need to demonstrate the gesture.