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Alexandra won a silver medal at the World Junior Figure Skating Championships in 2010 and retired from competitive skating in 2016.
Putin was speaking at an awards ceremony for medallists from the 2022 Beijing Winter Olympics at the Kremlin.
The San Francisco-born skier who competes for China carried on her shoulders the weight of a nation's aspirations, as well as the hopes of her Chinese fans.
Rippon said the decision by sport's highest court to allow the 15-year-old to compete after testing positive for trimetazidine, a banned angina drug, was unfair to other competitors.
The 15-year-old's gold medal and Games future now hangs in the balance as the International Olympic Committee attempts to draw a line in the sand over Russian doping.
Madison Hubbell and Zachary Donohue took the top spot for the United States in the team event's rhythm dance at the Beijing Winter Games.
Indian diplomats in Beijing will not attend the opening and closing ceremonies of the 2022 Beijing Winter Olympics (February 4-20) following reports of China making a PLA soldier involved in the 2020 Galwan clashes one of the torch-bearers for the quadrangular Games.
The United States will have to "pay a price" for its diplomatic boycott of the Winter Olympics in Beijing, China said on Tuesday, just weeks after talks aimed at easing tense relations between the two sides. The White House said on Monday US government officials would boycott the Winter
She is the second Australian Winter Olympian to die suddenly this month after snowboarder Alex Pullin drowned while spear fishing off a Gold Coast beach on July 8.