01 - In a small bowl, whisk together the olive oil, balsamic vinegar, honey, minced garlic, Dijon mustard, salt, and pepper until well combined. Set aside.
02 - Place the chicken breasts in a shallow dish and pour one-third of the dressing over them, turning to coat evenly. Let marinate for at least 15 minutes, reserving the remaining dressing for the salad.
03 - Preheat the grill or a grill pan to medium-high heat, approximately 400°F.
04 - Brush the cut sides of the peach halves lightly with a thin coating of olive oil to prevent sticking.
05 - Grill the marinated chicken breasts for 5 to 7 minutes per side, or until cooked through and the internal temperature reaches 165°F. Remove from the grill and let rest for 5 minutes before slicing.
06 - Place the peach halves cut side down on the grill for 2 to 3 minutes until distinct grill marks appear and the flesh has slightly softened. Remove, let cool briefly, then slice into wedges.
07 - Place the chopped kale in a large mixing bowl, sprinkle with a pinch of salt, and massage firmly with your hands for 1 to 2 minutes until the leaves become wilted and tender.
08 - Add the sliced grilled chicken, grilled peach wedges, red onion, torn basil leaves, and torn mint leaves to the bowl with the massaged kale.
09 - Drizzle the reserved dressing over the salad and toss gently until all ingredients are evenly coated.
10 - Top with crumbled feta cheese and toasted sliced almonds. Serve immediately while the chicken and peaches are still slightly warm.