Dice green pepper and onion and mince the garlic. Add the chicken to the bottom of the slow cooker. Then add onion, garlic, green bell pepper, green chiles, seasonings, and 2 cups of chicken broth to your slow cooker. Cook for 4 hours on high or 7 hours on low.
In the last 30 minutes of cooking, shred the chicken. Drain and rinse your beans and corn. In a blender or food processor, puree 1 can of the beans with ½ cup of chicken broth. Add the pureed beans, other can of beans, and corn to the slow cooker. I puree a can of Great Northern Beans and use Cannellini beans for the other.
When it's done cooking, add the cilantro and fresh lime juice. Give it one last good stir! If you want a thinner chili, add another half cup of chicken broth.
Hint: If using rotisserie or precooked chicken, add it with the corn and beans.
Alternative Cooking Method- Stovetop: If you want to make this on the stovetop, heat a Dutch oven or other heavy-bottomed large pot on medium heat and add extra virgin olive oil or avocado oil. Once heated, add the onion and green pepper to the pot. Cook until the onions are translucent, about 2-3 minutes. Add the garlic and spices until fragrant, about 30 seconds. Puree 1 can of the beans with ½ cup of chicken broth. Add the pureed beans, chicken breasts, chicken broth, and green chiles to the pot. Bring it to a boil and then lower heat to medium-low, and let simmer for 15-20 minutes. Once the chicken is cooked, remove it from the pot, shred it, and add it back to the pot. Then add the remaining beans and the corn. Let it simmer for another 5-10 minutes. Turn off the heat and add the cilantro and fresh lime juice.