Preheat the oven to 400 degrees F and line a baking sheet with parchment paper.
Make the biscuit dough: In a medium mixing bowl, whisk together the gluten-free flour, baking powder, and salt until combined. In a separate medium mixing bowl or liquid 4-cup measure, whisk together the milk, egg, melted butter and honey. Add the wet ingredients to the dry ingredients and mix until just combined. Using an ice cream scoop for portioning, scoop the dough onto the prepared sheet pan (you’ll have 8 to 10 balls). Use your fingers to pat down the tops so they aren’t domed and smooth the sides.
Bake the biscuits until they are set but not browned, about 10 minutes. Set aside.
Meanwhile, make the filling: In a large ovenproof skillet, shallow Dutch oven or casserole dish, melt the butter over medium heat. Add the shallots, carrots and garlic. Sauté over medium heat until soft, about 5 minutes. Push the veggies to the sides of the pan.
Sprinkle in the flour and whisk until a paste forms. Pour in the coconut milk and whisk until combined. Continue to simmer over medium-low heat, stirring occasionally, until the coconut milk vegetable mixture is thick enough to coat the back of a spoon, about 5 minutes. Add the stock, salt and thyme or rosemary; cook for another few minutes until smooth and thick.
Off the heat, add the mustard, peas, pearl onions (if using), shredded chicken, and parsley. Taste for seasoning and add more salt as needed. Smooth into an even layer and top with the cooked biscuits. Feel free to brush the biscuits with olive oil or butter for more of a browned, glazed look. Transfer the pan to the oven and bake for 15 minutes, or until the biscuits are lightly golden brown and flakey, and the pot pie is bubbling.