PLACE the chicken in a 4-quart slow cooker. Add the broth, sweet potato, onion, green chiles, jalapeño, garlic, cumin, oregano, chili powder, cayenne, salt, and pepper. Stir to combine.
COOK on low for 5 to 6 hours or on high for 2.5 to 3 hours.
TRANSFER the chicken to a plate; cover to keep warm. Turn the slow cooker to high if using the low setting. Add the coconut cream, butter, lime juice, and nutritional yeast (if using) to the slow cooker; stir to combine. Cover and cook for 20 minutes.
USE two forks to shred the chicken. Return the chicken to the slow cooker. Cover and cook for 10 minutes. Stir in the 1 tablespoon minced cilantro.
SERVE with avocado and more cilantro.