Warm the olive oil in a Dutch oven on medium heat.
Dice the celery, carrot, shallot, and garlic in a food processor.
Add the veggies to the oil and sweat for 10 minutes until they start to brown slightly.
Shred the cooked chicken thighs and add them to the pot, cook for 5 minutes.
Add the chicken broth, salt, and pureed butternut squash to the pot and mix, cook for 5 minutes.
Add the cream, butter, and thyme. Mix, and cook for an additional 5 minutes before serving.