Cream butter and confectioners sugar in a large bowl or stand mixer fitted with a paddle attachment.
Add in flour, salt, and loose tea leaves. continue to mix until a soft dough forms, mix will be dry and crumbly at first but will come together.
Roll out dough on a lightly floured surface until it's ¼ inch thick.
Cut out cookies using a 2 in round cookie cutter.
Bake on a parchment lined baking sheet for 18-20 minutes or until edges are a golden brown and transfer to a cooling rack to cool completely.
Once cooled, whisk together icing ingredients until smooth. Dip half of each cookie in the icing, let excess drip off and run a spoon along the edge to remove any extra, then place on wax paper to set.
Notes
Can substitute Cinnamon Black Tea with 1 tbsp black tea leaves and 1/4 tsp ground cinnamon.