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Ekaterina Alexandrova advanced to the last eight.
The former champion's choice of wardrobe for Monday's first-round match landed her in a spot of bother amid windy conditions
The 21-year- became the first high-profile woman player to opt out of the Australian Open -- the opening major of 2022 -- due to mental health issues arising from "quarantining".
Rafael Nadal, Dominic Thiem, Stan Wawrinka, Nick Kyrgios, Serena Williams and Simona Halep have already announced their decisions to skip the pandemic-delayed Olympics.
The No. 1-ranked Barty won her second successive Miami title, and the Australian was already in control of the match when Andreescu turned her right foot while hitting a forehand and sprawled to the hard court.
Eighth seed Andreescu, one of the 72 players unable to train during hard quarantine in the lead-up, attacked with her typical abandon at Rod Laver Arena but found a brick wall in the form of the double-handed Hsieh.
Women's world No. 1 Ashleigh Barty, Svetlana Kuznetsova, Elina Svitolina and Kiki Bertens have already decided against playing in the US Open amid the COVID-19 pandemic.
The Canadian teenager came from behind to overpower Mertens 3-6, 6-2, 6-3 and reach her first Grand Slam semifinal.
Serena is chasing a 24th Grand Slam singles crown to equal the record held by Australian Margaret Court, but Mouratoglou said he had full respect for her final opponent Andreescu.
Andreescu beat Serena Williams 6-3, 7-5 in Saturday's final to maintain a 13-match unbeaten run, where she also won the Canadian Open, to break into the top 10 for the first time in her career.
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