In a large bowl, combine the shredded chicken, black beans, corn, diced tomatoes, red onion, cheddar cheese, cilantro, lime juice, chili powder, cumin, salt, and pepper. Mix well until all ingredients are evenly coated.
Lay out the flour tortillas on a clean surface.
Divide the chicken mixture evenly among the tortillas, placing it in the center of each.
Drizzle ranch dressing over the chicken mixture on each tortilla.
Fold in the sides of the tortilla and then roll it up tightly from the bottom to the top.
If desired, slice each wrap in half diagonally and serve immediately, or wrap in foil for later.