Heat grill to medium heat.
Rub turkey breast with olive oil and salt and pepper. To the grill, place the turkey and close lid. Cook for 10 minutes on each side, until the center of the turkey is no longer pink. Remove turkey from grill and allow to cool. Once turkey has cooled, cut into bite sized pieces.
In a medium skillet over medium heat, heat coconut oil. To the skillet, add the beets and season with sea salt and freshly ground black pepper to taste. Cook for 10 minutes, until beets are fork tender.
In a large bowl, add the lettuce, shallot, walnuts, turkey and beets.
In a small bowl, whisk the remaining ingredients and sea salt and freshly ground black pepper to taste. Pour dressing over salad, toss and serve.