Place the chicken in the bottom of a round, 5-quart slow cooker. In a large nonstick skillet, heat the oil until rippling and hot. Add the onion, garlic, and pepper and saute for 3-4 minutes. Scrape the mixture into the slow cooker.
Add the chicken broth and stir in the cumin, salt, pepper, oregano, and chili powder.
Cook on low for 6-8 hours.
Remove the chicken and shred into bite-sized pieces. Stir in the rinsed and drained beans. Cook on high for 30 minutes until beans/soup are heated through. Stir in the lime and cilantro and add salt and pepper to taste.
Serve with garnishes.
