"We have gotten ourselves into a big, deep hole in the way that we look at healthcare," Etheridge, 48, told PEOPLE at the American Music Awards on Sunday. "We are in a system where they get money when we're sick. That's never going to work for us."
She adds: "So when someone says, 'You don't need a mammogram until you're 50,' you take charge of that. I don't trust any of that."