Preheat the oven to 375°F.
Dice the chicken breast into bite-sized pieces. Chop the carrot, parsnip, and celery into uniform chunks.
In a medium saucepan, heat a non-stick pan over medium heat. Add the chicken pieces and lightly sauté until they are just browned.
Add the chopped vegetables to the pan and cook for about 3-4 minutes until they begin to soften.
Sprinkle the whole wheat flour over the chicken and vegetables, stirring well to coat.
Slowly stir in the chicken broth and low-fat milk, ensuring smooth incorporation of the flour to avoid lumps.
Mix in the low-fat cream cheese until a creamy sauce forms. Season with herbs, salt, and pepper to taste.
Simmer the mixture for 5-7 minutes until the vegetables are tender and the sauce has thickened.
Transfer the filling into a small ovenproof dish. Optionally, top with a light whole wheat biscuit crust or puff pastry if desired (note: this will add extra calories).
Bake in the preheated oven for 15-20 minutes until the dish is heated through and the top is golden.
Let rest for a few minutes before serving.