Shred the chicken with two forks. Place it in a large bowl. Add the onion, tomatoes, celery, capers and dill. Set aside. In a small mixing bowl, combine the parsley, za’atar, tahini, lemon juice, lemon zest, maple syrup, salt to taste and pepper to taste. Add enough water to thin it out. Adjust seasoning for salt and pepper. Pour the dressing into the chicken mixture and toss. Add a swirl of extra virgin olive oil for moisture and extra floral flavor (do this to taste.)