How Romney Can Win the Swing Votes Emerging from the Republican primary season, Mitt Romney's campaign is now courting some groups that could be swing voters in November. In wooing Hispanics, he has tried to leave his immigration stances behind and talk about the economy. Trying to improve his standing among female voters, Romney has put his wife, Ann, front and center. But this week his campaign is facing a scandal over a Republican fault line: gays. An openly gay adviser, Richard Grenell, quit this week after conservative supporters of Romney objected to his presence in the campaign. What can Mitt Romney do to win over women, Hispanics and Republicans who are moderates on gay issues?