Actually, yes. A Trilby gets classified as a type of Fedora. Many manufacturers will advertise the Trilby as a Trilby Fedora. Some people also refer to a Trilby hat as a short-brimmed Fedora, although Trilby is the correct term. Regardless of the hat style, the crucial thing you must do is choose a brim that is proportionate to your shoulders. Choosing the wrong hat for your body can ruin the most banging outfits and take you from sleek to geek in a matter of seconds.