In a medium bowl, whisk together oil, jam, cayenne, vinegar, and salt. Add peach slices and gently toss to coat with dressing.
Arrange chicken on a large platter. Evenly spoon peaches and dressing over chicken. Sprinkle with basil, feta, and walnuts.
*Look for glazed walnuts in the nut or produce section of your supermarket.
Note: Nutritional analysis is per serving.