In a large pot or Dutch oven, heat 2 Tbsp. of olive oil over medium heat. Sauté the onion, peppers, carrots, celery, and garlic for 5-8 minutes. Then, season with salt and pepper. Next, add the ground chicken and cook until browned, about 6-7 minutes. Use a wooden spoon to break the meat into small pieces. Again, season with salt and pepper.
Now, add the butter, chicken stock, hot sauce, lime juice, tomato sauce, diced tomatoes, smoked paprika, and chili powder. Bring to a boil. Then, cover and simmer for 10-20 minutes.
A few minutes before serving, spread the tortilla chips on a baking sheet. Top with shredded cheese. Then, broil for 2-3 minutes, until cheese is melted.