In previous Animal Crossing games, players were given a quick quiz in the beginning of the game to determine gender, and then a select set of options were available. According to Animal Crossing: New Horizons director Aya Kyogoku, that's no longer the case. She shared the following info in an interview with Polygon.
“Right from the start, you’ll be able to choose the way you want to look. All the facial parts or hairstyles are all gender-free. So you can select from a pool of hairstyles and facial features and then they’re also changeable at any point in the game. So if you feel like a certain way one day, then you can make that change pretty easily.”
This includes hair color and style, eye color, facial features, you name it. This goes hand-in-hand with the ability to change skin color, which was mentioned in a separate feature we posted yesterday.