Heat the olive oil in a large pot or Dutch oven over medium heat.
Add the diced onion and sauté for about 5 minutes, or until the onion becomes translucent.
Add the minced garlic, diced green chilies, cumin, chili powder, salt, and black pepper to the pot. Stir well and cook for an additional 1-2 minutes until fragrant.
Cut the chicken breasts into bite-sized pieces and add them to the pot. Cook for about 5-7 minutes until the chicken is browned on all sides.
Pour in the chicken broth and bring the mixture to a boil. Once boiling, reduce the heat to low and let it simmer for 15 minutes.
After simmering, add the rinsed white beans and cream cheese to the pot. Stir well until the cream cheese has melted and fully incorporated.
Gradually stir in the heavy cream, allowing it to warm through. Heat for another 5 minutes.
Taste and adjust seasoning if necessary. If you prefer a thinner chili, feel free to add more chicken broth.
Serve the chili hot, garnished with fresh cilantro and lime wedges on the side.