**Prepare the Base:** Add chicken breasts, onion, garlic, white beans, green chilies, chicken broth, cumin, chili powder, smoked paprika, oregano, salt, and black pepper to the crockpot. Stir to combine.
**Cook:** Cover and cook on low for 6–7 hours or on high for 3–4 hours, until the chicken is tender and fully cooked.
**Shred the Chicken:** Remove the chicken from the crockpot and shred it using two forks. Return the shredded chicken to the crockpot.
**Add Creaminess:** Add cream cheese cubes and heavy cream to the crockpot. Stir until the cream cheese is fully melted and incorporated into the chili.
**Finish with Cheese:** Stir in shredded Monterey Jack cheese until melted and creamy.
**Serve:** Ladle the chili into bowls and top with your favorite garnishes.