Preheat the oven to 350 degrees.
Adjust an oven rack to the middle position. Line 2 baking sheets with aluminum foil, parchment paper or nonstick baking mats.
In a small bowl, whisk the flour, baking soda and salt.
In the bowl of a stand mixer fitted with a paddle, beat the butter on medium until creamy. Add the sugars and beat on medium until light and fluffy, 2 to 3 minutes. Add the egg, vanilla and 2 tablespoons water, and mix on low to combine. Add the flour mixture, and mix on low until combined.
Pour the skittles into a large bowl and organize the candies by colour. The gay Pride flag features red, orange, yellow, green, blue and purple. You may want to purchase a few different bags of Skittles to mix and match your favourite colours from each bag. You'll find all the colours you need if you buy Skittles Original and Skittles Berry.
Using a 1/4 cup measuring cup to portion out the cookie dough and place onto the prepared baking sheet. You should place no more than cookies on each baking sheet as they flatten in the oven and spread out.
Smush the dough into a half inch circle. Press each coloured skittle (mimicking the rainbow Pride flag) in a circular configuration in the centre of each cookie. Punch a round cookie cutter into the cookie. Toss the leftover dough scraps and toss them back into the bowl filled with cookie dough.
Bake the Pride Skittles Cookies in the oven for 15-18 minutes.
Transfer the baking sheet to a wire rack; let cool before removing the colourful Gay Pride Rainbow Skittles Cookies from the pan.