"an outside and inside game"? What does it mean?

Context:

Hillary Rodham Clinton wasted no words about how women in public life are portrayed: There is a double standard,and the media are at fault.

“The double standard is alive and well, and I think in many respects the media is principal propagator of its persistence. And I think the media needs to be more self-consciously aware of that,” Clinton said, according to the Los Angeles Times.

Clinton made her comments Thursday as she and International Monetary Fund chief Christine Lagarde were asked about the media’s portrayal of women in public life on the opening night of the Women in the World Summit in New York City.

New York Times columnist Thomas Friedman helped spark the conversation by recalling an incident in which a world leader was concerned about welcoming Clinton, in her capacity as secretary of State, because she arrived with her hair tied back. The leader’s belief, the story goes, was that Clinton’s hairstyle was a sign that Clinton came to deliver “unpleasant news,” Friedman said.

Clinton advised that young women starting their careers should learn to play “an outside and inside game,” according to ABC News.

“On the outside,” she said, “you have to find ways to raise these issues that are truly rooted in sexism or in old-fashioned irrelevant expectations about women’s lives, not just to score a point but to change a mind.”