A movie star is always a movie star — even when she’s at Yankee Stadium, cheering on her boyfriend at the World Series. In the wake of Monday’s announcement that Kate Hudson and Alex Rodriguez have ended their six-month relationship, a Rodriguez source tells Us that the actress’ less-than-subtle presence at Yankee games was “a turnoff” to Rodriguez.

“[Hudson] wanted more camera time each and every game,” the pal tells Usmagazine.com. “She would always want to be styled before games and she’d insist on front-row seats.” Her motivation, the friend says, was more of a PR move than genuine devotion. “It was a turnoff to have a girlfriend who always wanted to be on camera,” the source quips. “Alex wanted someone who was more interested in building a long-term relationship than just building their profile.”

For those confused by the timeline of the couple’s split and who initiated what, the A-Rod friend insists that “he broke up with her over a week ago,” but they continued to spend time together publicly after the fact. “Alex wanted to end this relationship well over a month ago,” the source says, but the baseball star, 34, didn’t want to disrupt Hudson’s premieres and promotional events for her new film Nine. “He felt that would be counterproductive and unfair to her.”

And while many reports claim that a jealous Rodriguez “smothered” Hudson, 30, the friend suggests the opposite was the case, observing, “She seemed compelled to track and follow his every move” during his busy pre- and post-season schedule. MORE at the source