Combine all initial ingredients in your slow cooker. Place the chicken breasts at the bottom of a 6-quart or larger slow cooker. Layer with chicken broth, rinsed Great Northern beans, undrained diced green chiles, finely diced yellow onion, minced garlic, ground cumin, dried oregano, kosher salt, and cayenne pepper. Stir gently to ensure everything is well distributed.

Cook until the chicken is fork-tender. Cover the slow cooker and cook on low for 4 to 6 hours, or on high for 2 to 4 hours. The chicken should be cooked through and easily shredded with two forks, indicating it's ready for the next step.

Remove and shred the chicken. Carefully transfer the cooked chicken breasts from the slow cooker to a clean plate or cutting board. Allow them to cool slightly for easier handling. Once cool enough, use two forks to shred the chicken into bite-sized pieces; this texture will integrate perfectly back into the chili.

Thicken the chili for a creamy texture. To achieve a rich, thick consistency, use an immersion blender directly in the slow cooker to purée about 1/3 to 1/2 of the chili, leaving plenty of beans and vegetables whole for body. If you don't have an immersion blender, carefully transfer 2-3 ladlefuls of the chili to a regular blender or food processor, pulse until roughly puréed, then return it to the slow cooker and stir well. This step helps bind the flavors and adds a luxurious mouthfeel.

Stir in the cream cheese for ultimate creaminess. Add the softened, cubed cream cheese to the thickened chili in the slow cooker. Stir continuously until the cream cheese has completely melted and is fully incorporated, creating a wonderfully smooth and creamy broth. This is the key to that signature rich, velvety texture.

Finish and serve your delicious chili. Return the shredded chicken to the slow cooker and stir it into the creamy chili along with the fresh chopped cilantro. Taste and adjust seasoning if needed. Ladle the hot Crockpot White Chicken Chili into bowls, squeeze a fresh lime wedge over each serving, and top with your favorite garnishes. Enjoy this comforting, easy meal!