To a large pot or Dutch oven on the stove over medium heat add in the butter and olive oil. Once the butter has melted, add in the chicken and mix in half of all the seasonings, stir and cook the chicken until it is about 70% of the way cooked through.
Now add in the shredded carrots, minced, garlic, remaining seasonings, frozen peas, and cooked wild rice. Stir this together and let the chicken cook completely through at this point once the chicken has cooked through add in the half and half, and cheese stir well and let the cheese melt down serve and enjoy!