Make the cookies
Preheat oven to 350.
Combine butter and sugar in the bowl of a stand mixer.
Beat for 2-3 minutes on low speed using paddle attachment.
Add yogurt, lime zest, and tequila, mixing until incorporated.
Add baking powder, soda, salt, and flour; mix on low.
Form dough into balls the size of a walnut.
Place on cookie sheet, leaving 2 inches between cookies.
Flatten balls of dough slightly with the back of a spoon.
Bake for 12 minutes.
Allow cookies to cool on the pan for 2 minutes.
Transfer to a wire rack, and cool completely.
Make the glaze
Combine powdered sugar, tequila, and lime juice; mix well.
Using a spoon, pour a small amount of glaze on a cookie, and spread with the back of a spoon.
Glaze will set in 5 minutes.