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Wonder Woman fought the law backstage at Fox News — but nobody won — when Lynda Carter got into a heated debate with armed Milwaukee County Sheriff David Clarke.

Spies said that liberal, 1970s “Wonder Woman” star Carter and lawman Clarke got into an unlikely argument backstage at “Fox & Friends” last week.

“They got into a disagreement in the greenroom,” said a source, “over partisan issues,” including reproductive health.

During the standoff, we’re told, “Carter asked him, ‘Have you ever had unprotected sex?!’” Clarke was in uniform and packing heat. But a spy added that it all ended amicably.

Carter’s close with Hillary Clinton and said later on the air: “My husband and I have known [the Clintons] since 1983. I really do know the family . . . There’s been a concentrated effort to smear her name for so many years.”

On the same show, Clarke slammed Clinton for saying on hip-hop station Power 105.1 that she carries “hot sauce” with her — an apparent reference to Beyoncé’s tune “Formation.”

Clarke quipped, “She might as well have said ‘watermelon’ . . . this stuff is dehumanizing, it’s embarrassing, it’s disgusting . . . some stereotype about black people.”

Reps for Carter and Fox didn’t comment. But Clarke told us of Carter: “There was no heated anything. In fact I found her quite delightful. By the way, she asked for a pic with me. I was flattered.”