Blend 15 ounces of the cannellini beans with 1 cup of the broth until smooth and pour the mixture into a 6-quart crockpot.
Add the chicken, remaining beans, corn, green chiles, onion, garlic, cumin, oregano, remaining broth and salt.
Cover and cook on low for 4 1/2 to 5 hours until the chicken reaches 165°F and pulls apart easily.
Shred the chicken into bite-size strands in the crockpot and switch off the heat.
Temper the yogurt with 1 cup of hot chili, stir it back into the pot with the lime juice, and rest for 10 minutes before serving.