Ahead of time, combine chicken broth, wild rice, and chopped Kielbasa in a rice cooker. Cook until rice is done.
Remove rice from heat, fluff with a fork and season with salt and pepper, to taste. Set aside, or chill for later use.
Preheat oven to 375 F, line a baking sheet with parchment paper.
Trim chicken breast, if necessary. Pat dry with paper towels, and season on both sides with salt and pepper.
Use a sharp knife to cut a pocket into the thickest part of the chicken, about ¾ of the way through to the other side.
Stuff both chicken breasts with wild rice mixture. If necessary/desired, use tooth picks to secure the opening of the pocket closed.
Bake chicken for 35-40 minutes, or until they reach an internal temperature of 165 F. (Time will depend on the size of chicken breasts used)
As the chicken is cooking, make the sauce: