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In a medium bowl, whisk together the flour, salt, and tea. Set aside.
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In a small bowl, combine the granulated sugar and the orange zest. Rub the orange zest into the sugar until the sugar is fragrant and has the texture of wet sand.
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In a large bowl, beat the butter and the sugar mixture on medium until light and creamy.
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Add the egg and vanilla and until incorporated.
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Gradually add in the flour mixture, beating on low speed until fully combined.
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Transfer the dough to a flat work surface and shape into a small rectangle. Wrap the dough in plastic wrap and chill until firm, about 1 hour.
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Preheat oven to 350 F. Line a baking sheet with parchment paper.
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On a lightly floured surface, roll the dough out to ¼ inch thickness. Use a snow globe shaped cookie cutter to cut out the cookies. Re-form and re-roll the dough as needed.
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Place the cookies onto the prepared baking sheet and return the baking sheet to the refrigerator for 15 minutes before baking.
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Bake the cookies for 8-10 minutes, until lightly golden around the edges. Let cookies cool on the baking sheets for 5 minutes before transferring them to a wire rack to cool completely.