In a large crockpot (or a large stockpot on the stove), combine all ingredients EXCEPT for the sour cream and heavy cream. Stir a bit to combine the spices with all of the liquids and then cover with the lid. Simmer on low for 6-7 hours, just until the chicken is tender and can be easily shredded.
When the chicken is cooked through, remove to a plate and shred with tongs, leaving it in bite-size chunks. Place the chicken back in the crockpot and turn off the slow cooker. Place the sour cream and heavy cream in a small bowl and add about 1/2 a cup of the soup broth. Whisk together until smooth. Pour the cream mixture into the rest of the soup and stir to combine. Serve immediately. Enjoy!