In a lidded jar or medium bowl combine the dressing ingredients. Place the lid onto the jar and seal. Shake to combine and refrigerate until ready to use, for up to 1 week.
Make the chicken salad:
In a large bowl, combine the cooked chicken, mandarin oranges, celery, carrots, cabbage, almonds, green onions, salt, and pepper. Cover and refrigerate for up to 2 days, and toss with the dressing when ready to serve. Add ½ cup dressing and toss to combine.
Make the wraps:
Place one to two iceberg lettuce leaves on top of a tortilla. Scoop ¾ cup of the chicken salad on top of the lettuce. Fold the wrap over, fold in the sides, and wrap tightly.