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Mrs. Colbert Busch pushed back, saying she would be an independent voice for the district.

Yet political forces may make it difficult for Mr. Sanford to repeat in the 2014 election.

The former governor has been shunned by much of the Republican Party establishment since his 2009 scandal.

The Republican establishment expectantly would put its weight behind a formidable opponent in the 2014 GOP primary.

House leaders will isolate him to make it clear he is not in any way a spokesperson for the HouseGOP,” said Larry Sabato, director of the University of Virginia’s Center for Politics.

As for whether Tuesday’s special election has any deeper meaning on the national political landscape, many political analysts say no.

“I don’t think this one reflects anything. It’s all about Mark Sanford,” Mr. Sabato said. “Does anyone believe that any other Republican wouldn’t be winning this in a landslide? It’s a one-party district.”