Bad news for Directioners: Kimberly Stewart is said to be pretty perfect for One Direction heartthrob Harry Styles.

Sources tell E! Online that the pair did, in fact, start dating recently and that they are "very happy." Say it ain't so!

"They were introduced by a mutual friend who set them up," a source said. "Kim is very strong willed, she goes for what she wants and Harry appreciates that. It is a very new thing and we'll see where it goes. She is exactly his type."

Styles' type is generally older (Stewart is 33 to his 19), and apparently single moms are cool, too (she has a daughter by Benicio del Toro, with whom she admits she was never in a relationship). A source said of their night out with her father, Rod Stewart, and stepmom Penny Lancaster, "Kim and Harry sat next to one another. [He was] very cuddly with her," a spy reported. "He had his arm around her."

The pair grabbed Starbucks together Friday morning. The above pi of Hazza with two coffees is from then -- Stewart is said to have been waiting for him in his car.

Reps for neither 1D nor Stewart would comment ... which means it's probably all true. Darn!

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