Add the chicken, the seasoning packet from the rice mix (DO NOT ADD RICE YET), onion, celery, carrots, mushrooms and remaining seasonings to the slow cooker. Pour over the broth. (ALSO, HOLD OFF ON ADDING THE CREAM)
Stir. Place the lid on the slow cooker and cook on LOW FOR 6-7 hours.
After the cooking time is up, pour in the wild rice mix. Turn the slow cooker to HIGH and cook for 45 minutes more.
When that cooking time is up, shred the chicken with two forks right in the slow cooker. Pour in the heavy cream, stir and serve!