Cook the orzo according to the packet instructions. Drain, rinse under cold water, and allow to cool.
Whisk together the olive oil, red wine vinegar, lemon juice, honey, Dijon mustard, salt, and pepper to create the dressing.
Add the cooled orzo, chicken, tomatoes, cucumber, red onion, peppers, parsley, dill, and feta to a large bowl.
Pour over the dressing and toss gently until everything is coated.
Serve immediately or refrigerate for 20–30 minutes before serving.