In a medium bowl, whisk together your flour, baking powder, and salt.
Next, cut in the shortening using a pastry blender, a fork, or your fingertips until the mixture looks like coarse crumbs.
Now, pour in the warm water. Use a fork or a spatula to mix everything until a shaggy dough forms. Then, turn the dough out onto a lightly floured surface.
Knead the dough gently for about 1 to 2 minutes until it comes together into a smooth ball.
Cover the dough with a clean kitchen towel or plastic wrap and let it rest for about 10-15 minutes.
While the dough is resting, heat the vegetable oil in a large pot or Dutch oven over medium-high heat to reach about 360-375°F (180-190°C). If you don't have a thermometer, test the oil by dropping in a tiny piece of dough; it should sizzle and float to the top immediately.
Once the dough has rested, roll it out on a lightly floured surface to about ¼ inch thickness.
Cut the dough into desired shapes, about 3-4 inches wide squares or triangles, using a pizza cutter or knife.
Carefully slide 1-2 sopapillas into the hot oil, being careful not to overcrowd the pot. Fry for about 30 seconds to 1 minute per side, or until they puff up and turn golden brown.
Using a slotted spoon or spider, remove the fried sopapillas from the oil and place them on a plate lined with paper towels to drain.
Repeat with the remaining dough, adjusting the heat if necessary.
Serve immediately! Drizzle with warm honey, dust generously with powdered sugar, or enjoy them plain.