Microwave rice according to package directions; transfer to a large bowl, and cool completely, about 20 minutes.
Meanwhile, place herbs, olive oil, lemon juice, shallot, mustard, honey, salt, and pepper in a food processor or blender; process until smooth, about 30 seconds.
Add chicken, tomatoes, cucumbers, almonds, feta, celery, chopped celery leaves, and parsley to bowl with cooled rice; drizzle with dressing, and toss to coat. Transfer to a large serving platter or bowl, and garnish with additional herbs.