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Emma wanted to do a training block in the Middle East before flying to Australia.
After testing positive for Covid-19 and withdrawing from the Mubadala World Tennis Championships, Emma hopes to get back soon.
The US Open champion was going to play the Olympic gold medal winner.
The first qualified to win a Grand Slam title in New York is isolating.
She is going to play in a warm-up tournament before the Australian Open.
"I was very much looking forward to playing in front of the fans here in Abu Dhabi," he said.
"I'm isolating as per rules and hope to get back soon."
Since her US Open triumph, she has had two wins from five matches, but she has recently been working with her new coach, Torben Beltz.
The Mubadala World Tennis Championship will feature two-time champion Andy Murray.
