Preheat your oven to 400°F (200°C).
Dice the chicken breast into bite-sized pieces and finely chop the onion, carrots, and mushrooms.
Heat the olive oil in an oven-safe skillet over medium heat. Add the chicken and cook until browned on all sides.
Add the onion, carrots, and mushrooms to the skillet. Sauté for 5-7 minutes until the vegetables are tender and the mushrooms have released their moisture.
In a small bowl, whisk together the chicken bone broth and arrowroot powder until no lumps remain.
Pour the broth mixture into the skillet, stirring constantly until the sauce thickens and becomes glossy.
Remove the skillet from heat. Stir in the frozen peas, dried thyme, sea salt, black pepper, and Greek yogurt until the sauce is creamy and well combined.
Place the whole wheat tortilla over the top of the chicken mixture, pressing down slightly to seal the edges.
Transfer the skillet to the oven and bake for 10-12 minutes, or until the tortilla crust is golden brown and crisp.
Allow the pot pie to cool for 5 minutes before serving directly from the skillet.