Place the chicken thighs, white beans, chicken broth, onion, carrots, garlic, and thyme into the slow cooker.
Season with salt and pepper, then stir gently to combine everything.
Cover and cook on low for 6 to 7 hours until the chicken is very tender.
Remove the chicken thighs, shred them with two forks, and return the meat to the slow cooker.
Stir in the chopped kale, cover again, and cook on low for 20 more minutes until the kale wilts.