Melt 4 tablespoons of butter in a large Dutch oven or heavy-bottomed pot over medium heat. Whisk in 6 tablespoons of flour and the paprika. Cook, whisking constantly, for 1 minute to form a paste.
Gradually pour in the chicken stock while whisking continuously to prevent lumps. Bring the mixture to a simmer and cook for 5 minutes, stirring occasionally, until the sauce has thickened.
Stir in the shredded chicken, light cream, 1/2 teaspoon salt, and 1/4 teaspoon black pepper. Bring the stew back to a gentle simmer over medium-low heat. Taste and add more salt and pepper if needed.
While the stew simmers, prepare the dumplings. In a medium bowl, whisk together 2 cups of flour, the baking powder, and 1 teaspoon of salt.
Using a pastry blender or your fingertips, cut the remaining 1 tablespoon of cold butter into the flour mixture until it resembles coarse crumbs. Pour in the milk and stir with a fork just until a soft, sticky dough forms. Do not overmix.
Drop heaping tablespoonfuls of the dumpling dough onto the surface of the simmering stew, leaving a little space between each one.
Cover the pot with a tight-fitting lid, reduce the heat to low, and let it simmer for 15 minutes. Do not lift the lid while the dumplings are cooking.
After 15 minutes, uncover and check that the dumplings are cooked through and the chicken is heated to a safe internal temperature of 165°F (74°C). Serve immediately.