Sauté the aromatics: In a large pot over medium heat, add a drizzle of oil and cook the red onion and jalapeño until softened.
Add base ingredients: Stir in corn, beans, tomatoes, adobo sauce, and chicken broth.
Add chicken: Place seasoned chicken into the pot. Cover and simmer on low heat for 25-30 minutes until fully cooked.
Shred chicken: Remove chicken, shred it with two forks, then return it to the pot.
Stir in rice: Add instant rice and simmer for 10 minutes until rice is tender.
Finish with cream: Pour in heavy cream and let the soup simmer for another 5 minutes. Adjust seasoning to taste.
Serve: Ladle into bowls and top with sour cream, cheese, avocado slices, or tortilla strips.