How to Make It
Preheat the oven to 450°. In a bowl, whisk the flour, baking powder and salt. With a pastry blender, cut in the shortening until the mixture resembles coarse meal. Add the cheese; toss to coat. Stir in the buttermilk until the dough comes together.
2. Turn the dough out onto a lightly floured work surface and pat it into a 1/2 -inch thickness. Dip a 3-inch round biscuit cutter in flour and cut out 8 biscuits. Transfer the biscuits to a baking sheet and bake for 10 to 12 minutes, or until golden brown.
In a large, deep skillet, melt the butter. Add the chicken, season with salt and pepper and cook over moderately high heat until golden brown, about 8 minutes; transfer to a plate. Add the ham to the skillet and cook, stirring, for 1 minute. Add the scallions, broccoli and carrot, cover and cook over low heat until the broccoli is bright green, 3 minutes.
Return the chicken to the skillet and add the thyme leaves, cayenne and a pinch of salt and pepper. Cook over moderate heat, stirring, for 1 minute. Add the sherry and simmer until almost evaporated, about 2 minutes. Add the cream and simmer until thickened slightly, about 5 minutes; season with salt and pepper.
Split the biscuits and set 2 bottoms on each plate. Spoon the chicken and sauce over the biscuit bottoms, add the tops and serve.