Whisk together all the ingredients until combined. Set aside.
To make salad
Heat oil, and fry cashew nuts until golden. Set aside.
In a large bowl, toss together shredded chicken, carrot, cucumber, lettuce and green chilies. Pour the vinaigrette in the salad. Toss again. Transfer salad to a serving bowl. Drizzle with yogurt. Garnish with cashew nuts. Serve immediately.