Preheat oven to 350°F and line two baking sheets with parchment paper.
In a medium bowl, whisk the flours, baking soda, baking powder and salt until combined.
In the large bowl using a stand or hand mixer mixer, cream the butter and sugar on high speed.
Add egg, tequila, lime juice, orange liquor and lime zest and beat until combined.
Continue on low speed and add the flour slowly until just combined.
Portion out rolled balls of dough using a medium cookie scoop onto prepared cookie sheets about 2 inches apart.
Bake for 12 minutes or until they are set. Then transfer to a cooling rack to cool completely. While the cookies are cooling, combine the powdered sugar, tequila and lime zest in a medium bowl to make the glaze. After the cookies are cooled dip the tops into the glaze and then sprinkle with the additional lime zest.