In a mixing bowl, combine the mayonnaise, dill pickles, yellow mustard, white vinegar, paprika, garlic powder, and onion powder. Stir until well blended.

In a skillet over medium heat, add the olive oil and finely chopped onion. Sauté the onions until translucent.

Add the ground beef, breaking it apart with a spatula, and cook until fully browned. Season with salt and pepper.

Take a large tortilla and spread a layer of the special sauce evenly over it.

Add a portion of the cooked beef mixture, followed by shredded lettuce and cheddar cheese. Top with pickle slices if desired.

Fold in the sides of the tortilla and roll it up tightly from the bottom. Slice the wrap in half to make it easier to hold and serve.