Story highlights Fitness trainer sought to compete in 2013 CrossFit Games

Games' policy requires competitors to be in categories of gender of their birth

Chloie Jonsson's lawyer calls it discrimination against transgender people

CrossFit calls it protecting the competition

A transgender woman prohibited from competing in a strength competition as a female is suing the fitness company sponsoring the competition, seeking $2.5 million in damages.

Chloie Jonsson, a personal trainer, charges the CrossFit company with discrimination, intentional infliction of emotional distress and unfair competition in a lawsuit filed Thursday in Santa Cruz, California.

While her lawyer calls it a case of discrimination against transgender people, CrossFit's lawyer calls it protecting the competition.

Last year, Jonsson sought to compete in the CrossFit Games, a contest aimed at determining the fittest man and woman.

According to the lawsuit, Jonsson has identified herself as a female since her teenage years and is legally recognized by California as a woman. She had sexual reassignment surgery in 2006 and has been on female hormone therapy, according to her lawsuit.

The lawsuit alleges that a CrossFit teammate of Jonsson's sent an anonymous e-mail to the games organizers asking about transgender athletes in the competition. CrossFit determined that competitors in the event had to compete in the gender of their birth.

Jonsson disagreed with its decision and the dispute has escalated to a lawsuit.

CrossFit maintains that Jonsson was born as a male, so she should compete in the men's division, according to a letter from the company's lawyer to Jonsson's attorney. It also stated that the company had an "obligation to protect the 'rights' of all competitors and the competition itself."

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"The fundamental, ineluctable fact is that a male competitor who has a sex reassignment procedure still has a genetic makeup that confers a physical and physiological advantage over women," according to the letter from CrossFit's lawyer sent in October.

CNN reached out to CrossFit but did not get a response on Thursday. The letter from CrossFit was provided to CNN by Jonsson's attorney, Waukeen McCoy, who blasted the company's decision.

"(Jonsson) doesn't have an advantage over other women. She's been on estrogen for such a long time," he said about his client.

Hormone replacement therapy for transgender women includes anti-androgen therapy, which nullifies the effects of testosterone to reduce the masculine features of the body. Therapies can also consist of the hormones, estrogen and progesterone to feminize the body.

Transgender men receive the opposite types of hormones -- mainly testosterone to masculinze their bodies with features such as increased muscle and hair growth.

McCoy said that CrossFit should change its rules to be more like the International Olympic Committee, which allows transgender athletes to compete in their identified gender after undergoing sexual reassignment surgery.

"She's female," McCoy said about Jonsson. "She's legally female. A corporation like CrossFit, they're doing business in California. The law precludes from discrimination on gender identity."

He said Jonsson seeks a reversal in the competition's policy.

The lawsuit also alleges that CrossFit's policy of having to compete in a person's original birth gender, would require that transgender athletes would have to reveal their personal histories. In essence, that they'd have to "out" themselves, even if they sought privacy, the lawsuit alleges.

After her sexual reassignment surgery, Jonsson changed all her records to reflect her sex change to female, including her birth certificate, according to her lawsuit. Jonsson kept her background a secret and did not identify herself as transgender, according to the complaint.

In a press release statement, Jonsson said: "If I am going to be forced to out myself, I want it to be for the good for all transgendered people and athletes -- not because of a company's discriminatory policies."