In a large mixing bowl, cream together the softened butter and granulated sugar until light and fluffy.
Add the eggs one at a time, beating well after each addition. Stir in the vanilla extract.
In a separate bowl, whisk together the all-purpose flour, baking powder, and salt.
Gradually add the dry ingredients to the butter mixture, mixing until just combined. Be careful not to overmix.
Divide the dough into two equal portions. Shape each portion into a log, about 2 inches in diameter.
Wrap the logs in plastic wrap and refrigerate for at least 1 hour or until firm.
Preheat the oven to 350°F (175°C). Line a baking sheet with parchment paper.
Remove the dough logs from the refrigerator and slice them into ¼-inch thick rounds.
Place the cookie rounds on the prepared baking sheet, spacing them about 1 inch apart.
Using your thumb or the back of a spoon, make an indentation in the center of each cookie round.
Fill each indentation with about 1 teaspoon of lemon curd.
Bake the cookies in the preheated oven for 10-12 minutes or until the edges are lightly golden.
Remove the cookies from the oven and let them cool on the baking sheet for a few minutes.
Transfer the cookies to a wire rack to cool completely before serving.