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Combine the flour, baking soda, and salt in a medium bowl. Set aside.
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In a large bowl, using a hand mixer or a stand mixer, beat the butter for 1 minute on high speed until light and creamy.
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Switch to medium-high speed and beat in the brown sugar and granulated sugar until thoroughly blended in and smooth, about 2 minutes.
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Add the egg and beat until combined, about 1 minute.
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Scrape down the sides and bottom of the bowl as needed. Add the peanut butter and vanilla extract and beat until combined.
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Add the flour mixture to the wet ingredients and beat on low speed until combined. The dough will be very creamy and soft.
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Cover and chill the cookie dough in the refrigerator for at least 1 hour and up to 3 days.
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When ready to bake the cookies
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Preheat the oven to 350°.
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Line two large baking sheets with parchment paper or silicone baking mats.
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Scoop and roll into a ball the cookie dough using a cookie scoop or spoon, about 1 tablespoon of dough each.
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Roll each ball in the 1/2 cup of red sugar and arrange it on the baking sheet about 2 inches apart.
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Bake one tray at a time for 11–13 minutes or until the tops begin to slightly crack. Remove cookies from the oven and allow them to cool on the baking sheets for 5 minutes.
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Press a dark chocolate kiss candy into the center of each, then, using a thin spatula, immediately transfer the cookies to a large plate or a few smaller plates (gently—they’re soft). You can cool them in a cold place for 20 minutes to set the chocolate, though they are fine without.