Place walnuts in a small frying pan over medium heat. Cook until lightly browned and toasty smelling, watching closely and stirring often to avoid burning.
Transfer nuts to a cutting board. Let cool slightly, then chop. Set aside.
Prepare Dressing
Add olive oil, lemon juice, honey, salt, and pepper to a small jar with lid (or bowl).
Cover jar and shake vigorously just until ingredients are combined and dressing looks thick and creamy (or whisk together if using a bowl).
Assemble Salad:
Place arugula in a large bowl, then toss with ¼ cup salad dressing. (Reserve remaining dressing for another use.)
Mix in walnuts, feta, and basil leaves. Then taste salad and adjust seasoning with additional salt, pepper, and / or dressing, if needed.
Gently mix in nectarines.
Serve salad immediately. Enjoy!
Notes
Selecting Nectarines: For best results, use the freshest, tastiest nectarines you can find. Ripe nectarines should have a lovely fragrant scent, and they should have a little give when you squeeze them, but not be overly soft. If your nectarines aren't ripe when you buy them, let them sit on your counter until ripened and ready to use.Make Ahead: This salad will wilt if prepared in advance. However, you can make the dressing, toast the nuts, and crumble the cheese ahead of time, then assemble the salad right before serving.Leftover Dressing: You will have extra dressing, but the leftovers can be stored in your refrigerator for up to a week. Use it to make different salads, toss it with grains and veggies for a hearty side dish, or even use it to dress fruit salad.More Tips: Make sure to read the info before this recipe card for helpful tips, recipe variations, and more!