Leftover Turkey Tamales

Soak corn husks in a bowl of warm water until softened, about 1 hour; drain.

Whisk masa, 1 tablespoon paprika, 1 tablespoon chili powder, garlic powder, 1 teaspoon cumin, and 1 teaspoon salt together in a bowl; stir in corn oil. Stir in 3 ½ cups broth, 1 cup at a time, until dough is smooth and the consistency of thick peanut butter. Set aside remaining ½ cup turkey broth for the filling.

Heat olive oil in a skillet over medium heat. Add onion and minced garlic; cook until softened and translucent, 5 to 10 minutes. Off heat, add turkey, 1 teaspoon paprika, oregano, 1 teaspoon cumin, 1 teaspoon chili powder, 1 teaspoon salt, black pepper, and cayenne pepper. Stir in reserved ½ cup turkey broth until moistened.