Pre-heat oven to 350 degrees F.
Stir together the sour cream and green chile sauce in a medium bowl until the sour cream is all mixed in. Combine the chile powder, garlic powder, seasoned salt and cumin by stirring together in a small bowl.
Prepare the chicken by cutting each chicken breast into two pieces. Place the two pieces in a large Ziplock bag and seal closed. Move the chicken pieces so they are spread-out in the bag. Use a meat tenderizer or alternative to pound down the chicken so that it's a 1/2 inch thick. Remove chicken and repeat with second chicken breast.
Season both sides of the chicken with the spice mixture and place in an 8x8 baking dish. Cut off the top of the whole roast green chile and cut a slit down the side to open. Remove any seeds by running the edge of a knife down the inside of the chile. Place one chile on top of each piece of chicken. Spoon the green chile sauce evenly over the chicken. Top with shredded cheese. Note: you can save a little of the sauce to put on top after baking but I mostly just did this for the photos to show the sauce more.
Cook the chicken uncovered in the oven for about 30 minutes. You will want to check that the internal temperature gets to 165 degrees F to ensure the chicken is fully cooked. Remove from oven and allow chicken to rest for a few minutes before serving.
While the chicken is cooking make the race in either a rice cooker, InstaPot or in a pan with a lid on the stove. Place the rice, water and salt in whatever you are cooking it in. Cover with a lid and cook until all the water is absorbed. If doing on the stovetop bring the water to a boil first before adding the rice and salt. Reduce to a simmer and cover pan. Cook for about 17-20 minutes. You know it's done when all the water is absorbed.
Allow rice to cool for a few minutes when done. Use a fork to fluff cooked rice. Add olive oil, lime juice and cilantro. Stir until all combined. I would start with the juice of half the lime first, and then taste it especially if you have a larger lime. Serve chicken on top of a large spoonful of rice.