The Feathered Hat is a hat accessory item in Nintendogs + Cats that can be bought from the Mountains BARC for $32. It comes in two colors: green and purple. Both have a red feather tucked into a camo strap.
3DS (Green): "This feathered hat is perfect for pets with a funky sense of style."
3DS (Purple): "This purple feathered hat is an audacious fashion statement."