In a small bowl, combine mayonnaise, mustard, ketchup, sweet relish, paprika, garlic powder, and onion powder. Mix well and set aside.
In a frying pan or large skillet over medium-high heat, cook the lean ground beef with the minced onion until the meat is golden brown and cooked through. Season it with salt, pepper, and Worcestershire sauce, and then stir to combine.
Lay out a flour tortilla on a clean preparation surface. Spoon the cooked ground beef onto the center of the tortilla. Top the meat with mild cheddar cheese, sliced dill pickles, and shredded lettuce. Drizzle the Big Mac sauce over the fillings and carefully fold the tortilla to form wraps.
Serve these delicious burger wraps immediately, securing them with toothpicks if necessary, as well as serving them with extra Big Mac sauce on the side for dipping.