In a large bowl, whisk together flour, baking powder, and salt.
Cut in shortening using a fork or pastry cutter until mixture resembles coarse crumbs.
Add milk and stir just until dough comes together, being careful not to overmix. Let dough rest for 10 minutes.
In a large pot, bring chicken broth, butter, poultry seasoning, and black pepper to a gentle boil.
Drop dumpling dough by rounded tablespoonfuls into the simmering broth.
Cover pot and reduce heat to low, cooking for 15-20 minutes without lifting the lid.
Serve hot in bowls with plenty of broth spooned over the top.