Story highlights Hillary Clinton wouldn't respond directly Sunday to Donald Trump calling her "Crooked Hillary"

Clinton has redirected Trump's barbs, highlighting his insults of broader groups

Washington (CNN) Hillary Clinton wouldn't respond directly Sunday to Donald Trump's new nickname for the Democratic presidential front-runner: "Crooked Hillary."

Instead, Clinton called attention to the insults the Republican she could face in the general election has lobbed at bigger groups.

"I don't respond to Donald Trump and his string of insults about me. I can take care of myself," Clinton said on ABC's "This Week."

"What I'm concerned about is how he goes after everybody else. He goes after women. He goes after Muslims. He goes after immigrants. He goes after people with disabilities," she said. "He is hurting our unity at home. He is undermining the values that we stand for in New York and across America. And he's hurting us around the world."

Clinton added: "He can say whatever he wants to say about me. I really could care less."

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