The winner will face incumbent Democrat Nick Lampson of Stafford.
Olson's campaign issued a statement saying that Sekula Gibbs spent more than $182,000 while she finished Delay's term -- calling it excessive.
A Sekula Gibbs campaign spokesman didn't immediately respond to a request for comment.
Sekula Gibbs won a special election to replace DeLay, who resigned in June 2006 amid a campaign finance scandal.
She was sworn in on November 13th and finished her term on January 3rd.
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