Step 1 - Prepare: Preheat oven to 375°F. Line baking sheets with parchment paper. Chill chocolate kisses in the freezer while preparing dough.
Step 2 - Cream Ingredients: Cream together peanut butter and both sugars until light and fluffy, about 2-3 minutes. Beat in egg and vanilla extract until well combined.
Step 3 - Combine Dry Ingredients: In a separate bowl, whisk together flour, baking soda, and salt. Gently fold dry ingredients into wet ingredients until just combined.
Step 4 - Chill Dough: Chill dough for 30 minutes to prevent spreading during baking.
Step 5 - Shape Cookies: Roll dough into 1-inch balls and place on prepared baking sheets, spacing about 2 inches apart.
Step 6 - Bake: Bake for 8-10 minutes until edges are golden but centers look slightly underbaked.
Step 7 - Add Chocolate Kiss: Immediately press one chocolate kiss into the center of each warm cookie while still on the baking sheet.
Step 8 - Cool: Cool on baking sheet for 2 minutes, then transfer to a wire rack to cool completely.