01 - In a small bowl, whisk together the olive oil, lime juice, honey, Dijon mustard, minced garlic, salt, and pepper until well blended.
02 - Place the chicken breasts in a shallow dish. Spoon 2 tablespoons of the vinaigrette over the chicken, turning to coat evenly. Let marinate at room temperature for 10 to 15 minutes. Reserve the remaining vinaigrette for dressing the salad.
03 - Heat a grill or grill pan over medium-high heat. Brush the cut sides of the nectarine halves lightly with olive oil.
04 - Grill the chicken breasts for 5 to 6 minutes per side, or until cooked through and the juices run clear. Transfer to a cutting board and let rest for 5 minutes, then slice thinly against the grain.
05 - Place the nectarine halves cut side down on the grill. Cook for 2 to 3 minutes until prominent grill marks appear and the fruit softens slightly. Remove from the grill and slice each half into wedges.
06 - In a large bowl, combine the baby arugula, torn mint leaves, and sliced red onion. Drizzle with the reserved vinaigrette and toss gently until the greens are evenly coated.
07 - Arrange the dressed greens on a serving platter or individual plates. Top with the sliced grilled chicken, nectarine wedges, crumbled feta, and toasted almonds. Serve immediately.