Linda McMahon, the chief executive officer of World Wrestling Entertainment, announced Wednesday that she has joined the contest for the 2010 Republican Senate nomination in Connecticut.

Her entry adds a good deal of personal wealth — and perhaps a bit of her sports marketing firm’s trademark theatrical flair — to the already crowded field of Republicans seeking to challenge Democratic Sen. Christopher J. Dodd. Suffering from a job approval slump tied to questions about his oversight of the financial industry as chairman of the Banking Committee, Dodd is more vulnerable than at any previous point in his Senate career.

McMahon, who stepped down from her CEO post to run, released a statement Wednesday touting her business experience as a key qualification for the seat. “I have spent the past 30 years growing what began as a 13-employee small business into a publicly traded, global entertainment company,” she said. “I understand what it takes to balance a budget, create jobs and grow the economy.”

She has run the company with her husband, Vince McMahon, a showman who long has been the public face of pro wrestling and its flamboyant mixture of sports and theater.