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Heat oil over medium-high in a large soup pot or Dutch oven. Add onions and bell peppers; sauté for 5 minutes. Stir in jalapeños and sauté for 3 minutes. Add in garlic and stir for 30 seconds.
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Push the veggies to the sides and add chicken in a single layer. Sprinkle with cumin, chili powder, paprika, oregano, and salt. Cook for about 5 minutes until browned.
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Stir in tomatoes, juice from tomatoes, and broth. Scrape any cooked bits from the bottom and stir everything together well.
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Bring to a boil and reduce heat to medium-low. Simmer for about 15-30 minutes, stirring occasionally.
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Add in corn, and cook another 15 minutes.
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When ready to enjoy, stir in cream cheese and cheddar cheese, and stir well until completely melted. Serve with extra cheddar cheese on top if desired.