When Laurel Hubbard, a 43-year-old weightlifter from New Zealand, makes her first attempt in the women’s heavyweight competition Monday, she will become the first openly transgender female athlete to compete at the Olympics.

Yet she will do so amid a debate over whether she should be at the Games at all.

Athletes, advocates for women’s sports and fair-sport campaigners have questioned whether Hubbard, who competed in men’s competitions before quitting the sport more than a decade ago, has an unfair advantage. Others believe the Games’ binary categories fail to account for a diverse group of athletes.