Heat olive oil and butter in a large pot
Sauté chopped onion and minced garlic until fragrant
Add chicken breasts and cook until done
Add roasted Hatch chiles, cumin, smoked paprika, oregano, ground coriander, salt, white pepper, and bay leaf
Pour in chicken broth and water
Add white rice and bring to a boil
Reduce heat and simmer until rice is cooked and chicken is tender
Remove chicken and shred it, then return to pot
Stir in heavy cream
Finish with lime juice
Garnish with fresh cilantro before serving
