Chop the onion, carrots, and celery. Mince the garlic.
In a large slow cooker, stir together the onions, celery, carrots, garlic, bay leaves, thyme, pepper, and wild rice.
Layer the chicken on top of the rice and veggie mixture. Pour the broth on top.
Place the lid on top. Cook on high for 3½ hours or on low for 6½ hours. Chicken is more tender and easier to shred when cooked on low.
Prior to serving, shred the chicken with two forks. Return the shredded chicken to the slow cooker.
Remove bay leaves. Enjoy!