Begin by preparing the homemade Caesar dressing. In a small bowl, whisk together the chopped anchovies, garlic, Dijon mustard, Worcestershire sauce, lemon juice, and egg yolk until fully combined.
While whisking continuously, slowly drizzle in the olive oil until the dressing becomes smooth and creamy. Stir in the grated Parmesan cheese and season with freshly ground black pepper. Set aside.
In a shallow dish, combine the flour, garlic powder, cumin, paprika, salt, and black pepper.
Coat the chicken breast in the seasoned flour, dip it into the beaten eggs, and then press it firmly into the panko breadcrumbs until completely coated.
Heat the vegetable oil in a large skillet over medium heat. Fry the breaded chicken for about 4 to 5 minutes per side until golden brown, crispy, and cooked through. Transfer the chicken to a paper towel-lined plate to drain.
Cook the turkey bacon in a separate skillet until crispy. Remove it from the pan and break it into bite-sized pieces.
Allow the chicken to rest for a few minutes before slicing it into thin strips.
Place the chopped romaine lettuce into a bowl and toss it with about 2 tablespoons of the homemade Caesar dressing.
Warm the tortilla in a dry skillet or microwave for a few seconds until soft and flexible.
Spread one tablespoon of Caesar dressing down the center of the tortilla. Layer the dressed lettuce, crispy chicken slices, turkey bacon, and shaved Parmesan cheese on top.
Fold the bottom edge of the tortilla over the filling, fold in both sides, and roll tightly into a secure wrap.
Heat a clean skillet over medium heat. Place the wrap seam-side down and toast for 1 to 2 minutes per side until golden brown and crispy.
Slice in half and serve immediately.