Two of the first six riders in Sunday's opening snowboard cross seeding run were taken away on stretchers after falling heavily, causing concern a day after Russian freestyle skier Maria Komissarova was seriously injured on the same course.
About 41,000 rooms are being provided for the Games and any failure to have them ready in time would be a potential blow to President Vladimir Putin's hopes that the Winter Olympics will show how far Russia has come since the collapse of the Soviet Union in 1991.
The incident, the first reported death of a World Cup visitor to Russia, was blamed by police on the driver, although Russian roads are notorious and claimed over 19,000 lives in 2017.
The mayor of Sochi, the Russian city hosting the Winter Olympics next month, said homosexuality was not accepted in his Caucasus region, but that gay visitors would be welcome at the Games if they respected Russian laws.
Russian Skicross racer Maria Komissarova has been seriously hurt in training with doctors making an immediate decision to operate, the Russian Freestyle Federation said.
Japanese Prime Minister Shinzo Abe may attend the opening ceremony for the Sochi Winter Olympics, but China has ruled out any formal meeting with President Xi Jinping whose attendance at the Games has already been confirmed.
The Sochi Winter Olympics are meant to be Vladimir Putin's crowning achievement as Russian leader but are in danger of becoming a symbol of his country's problems.