01 - Preheat a grill or grill pan over medium-high heat.
02 - Brush the chicken breasts and nectarine halves with olive oil; season both sides with salt and pepper.
03 - Grill the chicken for 5-7 minutes per side, or until fully cooked and internal temperature reaches 165°F. Remove and let rest for 5 minutes, then slice thinly.
04 - While the chicken rests, grill the nectarine halves for 2-3 minutes per side, until lightly charred and tender. Remove and slice each half into wedges.
05 - In a small bowl, whisk together olive oil, lime juice, honey, Dijon mustard, salt, and pepper until emulsified.
06 - In a large bowl, combine arugula, red onion, and half the feta and nuts. Drizzle with half the dressing and toss gently.
07 - Arrange the salad on a platter or individual plates. Top with sliced chicken, grilled nectarine wedges, and the remaining feta and nuts. Drizzle with the remaining dressing.
08 - Serve immediately.