Woody

A person (most commonly male) who strips off, completely naked, only wearing a cowboy hat. They will then proceed to take photos of his/herself in this attire and send it to the person who asked to see their genitals.

Person 1: Did you hear what Chris did the other day?

Person 2: YEAH! he sent someone a picture of himself in the nude, wearing a cowboy hat.

Person 1: man! that guy is such a woody!