Combine: In a large bowl, combine the ground turkey, egg, breadcrumbs, Worcestershire sauce, ketchup, Dijon mustard, garlic powder, onion powder, salt, and pepper. Mix well but gently to avoid overmixing.
Shape the Burgers: Shape the mixture into 4 burger patties, using your thumb or finger to make an indentation in the center of each one. If desired, place them in the freezer for 10 to 15 minutes to firm them up a bit more.
Cook: Heat the olive oil in a large skillet over medium-high heat. Cook the burgers for about 5 to 7 minutes on each side or until browned. They should register at least 165 F on an instant-read thermometer, which is the minimum safe temperature for ground poultry.
Assemble: Arrange the burgers on buns with your favorite toppings and condiments.