French Bistro Salad with Rotisserie Chicken

Name: French Bistro Salad with Rotisserie Chicken
Ingredients: 1 bunch asparagus; 2 heads butter lettuce; 2 tablespoons Dijon mustard; 2 tablespoons red wine vinegar; 1/4 cup plus 2 tablespoons extra-virgin olive oil, divided; Kosher salt; Freshly ground black pepper; 1 1/2 to 2 cups shredded, cooked chicken (from 1/2 rotisserie chicken)