Start by heating the olive oil in a large heavy-bottomed pot over medium heat until it shimmers and begins to ripple.
Add the chopped onion to the pot and sauté for about 3-4 minutes until it becomes fragrant and translucent, with soft edges.
Stir in the minced garlic and cook for another minute until fragrant, filling your kitchen with a warm, savory aroma.
Place the chicken breasts into the pot, season with salt, pepper, and smoked paprika, and cook for 5-6 minutes, turning occasionally until lightly browned on the outside.
Pour in the chicken broth and bring the mixture to a gentle simmer, reducing the heat to low, and cover to cook for about 15 minutes, or until the chicken is cooked through and tender.
Remove the chicken from the pot and shred it with two forks, then return it to the stew, stirring to combine evenly.
Add the drained and rinsed beans to the pot, stirring gently as the chili thickens slightly and flavors meld, about 10 minutes.
Taste the chili and adjust salt and pepper as needed, and sprinkle in additional spices or hot sauce if you want more heat or smoky depth.
Allow the chili to simmer uncovered for a few more minutes to reach your preferred consistency, then turn off the heat.
Serve the White Chicken Chili hot, garnished with fresh herbs or a squeeze of lime if desired, and enjoy its creamy, smoky goodness.