Heat oil in a large saucepan over medium heat.
Add peppers and onion and cook, stirring, until the onion begins to soften, 3 to 5 minutes.
Add cumin and cook, stirring, for 1 minute.
Add chicken, broth, tomatoes and their juice. Bring to a boil, reduce heat and simmer until the chicken is cooked through, 12 to 15 minutes.
Remove from the heat and stir in lime juice.
Serve each portion topped with some of the baked tortilla strips, Cheddar and cilantro.