Burgess, who had never held any public office and voted in the Democratic primaries in 1990, 1992, and 1994, entered in the 2002 Republican primary election to replace U.S. Congressman and House Majority Leader Dick Armey. His primary opponent was Armey's son, Scott. The district, comprising almost all of Denton County (except a sliver in the southeast), was strongly Republican, and political pundits had predicted that whoever won the primary would not only win the general election, but be assured of at least a decade in Congress. Using the campaign slogan "My dad is NOT Dick Armey", Burgess touted the support of medical Political Action Committees and organizations like the National Beer Wholesalers Association. Burgess took second place in the primary behind Armey, finishing with 23% of the vote to Armey's 45%. Since neither candidate earned the required majority of votes, the election led to a primary runoff election. Before the runoff, "The Dallas Morning News" released a series of articles alleging that Armey used his influence as a judge to procure county jobs and contracts for his friends. The report hurt Armey's campaign, and Burgess won the runoff with 55% of the vote. He won the general election with 75% of the vote.