01 - Set a grill or grill pan to medium-high heat and allow it to reach the proper temperature.
02 - Brush the chicken breasts and peach halves lightly with olive oil. Season both generously with salt and freshly ground black pepper.
03 - Place the chicken on the grill and cook for 6 to 7 minutes per side until fully cooked through and juices run clear. Grill the peach halves cut side down for 2 to 3 minutes until distinct grill marks form and the peaches soften slightly. Remove everything from the grill and let rest briefly.
04 - Slice the rested grilled chicken breasts into even strips. Cut the grilled peach halves into wedges.
05 - Place the chopped kale in a large bowl. Add a pinch of salt and massage the leaves firmly with your hands for about 1 minute until the kale becomes tender and deepens in color.
06 - Add the cherry tomatoes, sliced red onion, and crumbled feta cheese to the massaged kale. Toss gently to distribute evenly.
07 - In a small bowl, whisk together the extra-virgin olive oil, fresh lemon juice, honey, chopped mint, chopped basil, and Dijon mustard until the dressing is fully emulsified. Season with salt and pepper to taste.
08 - Arrange the kale salad mixture on individual plates or a serving platter. Top with the sliced grilled chicken and peach wedges. Drizzle generously with the mint-basil dressing and sprinkle with toasted pecans or almonds if desired. Serve immediately.