Heat a large pot over medium heat and add the olive oil. Add onion, celery, bell pepper, and garlic and cook for 3 minutes. Add cumin, coriander, paprika, salt & pepper and cook another 2 minutes.
Add diced tomatoes, corn, chicken broth, and corn tortilla pieces. Bring to a boil, then turn heat down to medium-low and simmer for 10 minutes.
Transfer half of the mixture to a blender, puree until smooth, and pour back into pot.
Add rabbit meat and cheese and cook on low for another 5 minutes. Taste and season if necessary. Ladle in bowls and add your favorite toppings.