Add avocado oil to a Dutch oven or stockpot and heat over medium heat. Add the onion and saute until translucent, about 2-3 minutes. Add the garlic and cook another minute.
Add the turkey. If using shredded turkey, move on to step 3. If using ground turkey, saute until browned, crumbling as it cooks.
Stir in the chicken broth, beans, green chilies, chili powder, cumin, smoked paprika, and salt. Bring to a simmer, then cover and cook for 15 minutes, stirring occasionally.
Uncover and stir in the plain Greek yogurt, cilantro, and lime juice. Simmer for another 2-3 minutes, then serve with your favorite chili toppings!