What is a small plumed hat called?

A small plumed hat is called a fascinator. Fascinators are popular headwear often worn to formal events such as weddings, races, and cocktail parties. They are typically small and lightweight and can be made of various materials, including feathers, fabric, and beads. Fascinators are often decorated with feathers, flowers, or other embellishments and are typically attached to the hair with a headband, clip, or elastic.