Preheat the oven to 375°F and lightly grease a 12-cup muffin tin.
If needed, warm the tortillas for 10 to 15 seconds in the microwave to make them more pliable. Press one tortilla into each muffin cup to form a cup shape.
Make the filling: In a medium bowl, combine the shredded chicken, chopped green chiles, lactose-free yogurt, garlic oil, cumin, salt and pepper. Mix until combined.
Make the sauce: In a small saucepan over medium heat, add the chicken broth, chopped green chiles, garlic-infused olive oil, salt and pepper. In a small bowl, whisk the cornstarch with 1 to 2 tablespoons of the broth until smooth, then stir it into the saucepan. Simmer for 2 to 4 minutes, stirring, until slightly thickened.
Assemble the cups: Spoon the chicken mixture evenly into each tortilla cup. Top each with a small spoonful of sauce, then sprinkle the shredded cheese evenly over the tops.
Bake for 15 to 18 minutes, or until the tortilla edges are lightly crisp and the cheese is melted.
Cool for 2 to 3 minutes, then carefully remove from the muffin tin. Garnish with fresh cilantro and serve immediately.