David Mueller provided a letter to The Associated Press showing the payment was sent Nov. 28. Mueller previously told the AP he intended the coin featuring a prominent Native American woman as a final jab at the singer in a case her side called a win for all women.
Swift was among the "Silence Breakers" named as Time magazine's person of the year. In a story published Wednesday, she said she hadn't received the dollar.
Mueller had sued Swift claiming she falsely accused him of groping her and sought up to $3 million. A federal jury in Denver ruled for Swift.
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