Republican fund-raiser Georgette Mosbacher is considering running for the Senate seat left vacant by outgoing Olympia Snowe of Maine, who announced her retirement on Tuesday after 33 years. Sources close to Mosbacher, who is also CEO of cosmetics company Borghese and was once married to Robert Mosbacher, the secretary of commerce under George H.W. Bush, is seeking counsel from several high- ranking GOP members. “Georgette has been approached by several high-ranking Republicans arguing that she could put $10 million or more together quickly and make a race out of it,” said GOP campaign consultant Ed Rollins, who has engineered strategy for Ronald Reagan, Mike Huckabee and Michele Bachmann. Rollins also explained that Mosbacher “spent a lot of time in Maine” when her then husband served as a campaign chair for Bush’s presidential campaign. The redheaded Mosbacher, who has in the past thrown her muscle behind John McCain and Mitt Romney, would face a few hurdles — including having to establish residency in Maine by the March 15 signature-filing deadline for potential candidates. Sources say she’s “seriously thinking about it” — and has already started looking at houses in the state.