Add the chicken broth, shredded chicken, diced tomatoes, corn, cumin, chili powder, and salt to a large pot. Stir and bring to a gentle simmer over medium heat. Cook for 10 minutes so the flavors blend.
While the soup simmers, preheat the oven to 375°F and line a baking sheet with parchment paper. Cut each corn tortilla into thin strips.
Spread the tortilla strips on the baking sheet in a single layer. Sprinkle the shredded cheddar cheese evenly over the strips. Bake for 8 to 10 minutes until the cheese melts and turns golden and crisp.
Ladle the soup into bowls. Break the cheese crisps into pieces and place them on top of each serving. Add a lime wedge on the side for squeezing.