In a large 8-quart stockpot on medium-high heat, add the unsalted butter, chopped yellow onion, chopped celery, chopped carrots, minced garlic, fresh thyme leaves, chicken bouillon powder, poultry seasoning, salt, and black pepper. Saute for 5 to 7 minutes or until the vegetables are tender.
Turn the heat down to medium-low and add the chicken stock and boneless skinless chicken breasts to the stockpot. Gently boil the chicken for 20 minutes or until the chicken is cooked through.
Remove the chicken to a plate to cool slightly before shredding it using two forks or your hands.
To the stockpot, with the chicken removed, add the condensed cream of chicken soup and stir to incorporate the condensed soup into the chicken broth.
Bring the liquids in the stockpot to a boil and add the wild rice blend. Cover the pot with the lid and reduce the heat to low. Cook the rice for 20 minutes.
Once the wild rice is cooked, turn off the heat, remove the lid to the pot and add the shredded chicken and heavy cream. Stir to combine. You can garnish your soup with some additional fresh thyme leaves.