Carefully position the chicken breasts at the base of the slow cooker.
In a separate bowl, methodically combine the taco seasoning mix, your chosen creamy soup, and the can of diced tomatoes and green chilies, ensuring they are blended well.
Proceed to pour the mixture from the bowl over the chicken in the slow cooker.
Seal the slow cooker with its lid. Opt to cook on a low heat setting for a duration of 6 to 8 hours. Alternatively, for a quicker cooking time, choose a high heat setting for a duration of 3 to 4 hours.
Upon completion of the cooking period, use two forks to meticulously shred the chicken inside the slow cooker.
According to the packaging guidelines, prepare the Cheesy Mexican Rice. Once cooked, integrate it thoroughly with the shredded chicken mixture.