Place chicken in the bottom of the slow cooker.
Add corn, diced tomatoes, chicken broth, and spices.
Place cream cheese on top (do not stir).
Cover and cook on LOW for 6–7 hours or HIGH for 3–4 hours.
Shred the chicken directly in the slow cooker.
Stir until the cream cheese is fully incorporated.
Stir in sour cream and lime juice.
Top with cilantro and cheese, then serve.