A "hot dog" is an uncut sausage in a bun, with whatever toppings you see fit. The bun is about the same length as the sausage, and is cut lengthwise, but not all the way through, so that there is a hinge of bread at the bottom.
Usually they are made with a pork or beef sausage. But any meat is acceptable. In this case it is alligator meat.
"mayo, ketchup, and/or mustard" is a pretty basic hot dog over here too; this is from a local place that does nothing but hot dogs and has a lot of options. (https://www.datdog.com if you are curious)
This one in particular was a "Rougarou", which is named after the local Cajun myth of a swamp-prowling werewolf. It's normally an alligator sausage with grilled onions, creole mustard, tomatoes, jalapenos, barbecue sauce, and bacon; I substituted relish for onions because I hate onions.
I'm a grumpy queer dragon lady and this is my quiet cave for me and some friends.