Turn on the saute function of the Instant Pot and heat oil for a minute or two.
Add diced onion, green chiles, cumin, and oregano. Saute for 3-4 minutes until the onion is soft.
Add garlic and saute for 1 more minute. Turn off the Instant Pot.
Pour in ½ cup of broth to deglaze the pot.
Put the rest of the broth, white beans, and salt in the pot. Add the chicken.
Close the Instant Pot, seal the vent, and set to cook on HIGH pressure for 15 minutes (fresh chicken) or 20 minutes (frozen chicken).
After cooking, let the pressure release for at least 15 minutes.
Take out the chicken, let it rest, and shred it with forks.
Blend 2 cups of the cooking liquid with cream cheese, ensuring the blender vent is partially open.
Pour the blended mix back into the pot, add shredded chicken, and stir.
Serve with your favorite toppings like sour cream, cheese, jalapenos, avocado, lime juice, and cilantro.