February 26, 2016 09:45 PM

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When Disney approached Pink to pen a track for its upcoming Alice Through the Looking Glass, she was happy to give it a “Try.”

The Grammy winner watched an early screening of the Lewis Carroll adaptation with her daughter Willow Sage, 4½.

“I know everybody with kids says this — that their kids is their barometer of cool — but Willow tells me which songs of mine she likes and the way she does that is she just starts singing them after one listen,” Pink, 36, tells PEOPLE exclusively.

“So when we watched Alice, she was like, ‘Can we watch it again?’ ”

Understandably, Willow has proved to be a muse for the project.

“She is my inspiration for everything,” says the singer. “I think of little girls like her when I’m doing something like this because I want it to be fun. I think of that spirit Willow has, where she’s totally uninhibited and wants to dance around naked, and that’s how I go into the song.”

The movie doesn’t hit theaters until May 27, so the new track won’t drop for a while, but the pop star will surely win some cool-mom points for her addition to the Disney canon.

“I have a 4½-year-old little girl, so Disney is probably at the top of my list in my life. We’ve been to Disneyland. We love Princess and the Frog. Princess Tiana is our hero: She wanted to be a chef and save up all her money and work hard to have a restaurant, so we’re into that,” says Pink.

Disney Enterprises, Inc.

And the mom — married to motocross star Carey Hart, 40 — is very conscious of the entertainment and media her daughter consumes.

“What’s awesome about Alice is the whole theme, from the start of the movie, is: Girls can do it, too. She’s the captain of her own ship, but it takes her femaleness to be that fierce, so that’s another great [message] for our house,” explains Pink. “I try to keep Willow as empowered as possible.”

For more on Pink, pick up the latest issue of PEOPLE, on newsstands now.

— Jeff Nelson

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