Australian Court, a 24-time Grand Slam singles champion now a Christian pastor, has long opposed gay marriage.
Similarly, after Tennis Australia came out to distance itself from Court's comments, grassroots activist group Just.Equal asked: 'If Margaret Court is boycotting businesses for their support of equality, does she want her name on a building that supports equality, diversity and inclusion?'
[But] if something was to be done, I think it would be a lot more beneficial to do it before the tournament starts.
Mr Barr said Ms Court was free to hold and express her conservative views but said "equally, those of us who disagree are free to express our views". Happy to voice his own thoughts about gay marriage, he stopped short of backing a boycott of the Margaret Court Arena - although his reservations were for logistical reasons rather than moral ones.
Australian tennis legend Margaret Court-revered by her nation for decades after becoming the first woman in the open era to win tennis' Grand Slam in 1970-is now courting controversy.
Meanwhile, nine-time Wimbledon victor Martina Navratilova weighed into the debate on Twitter, with the retired star delivering a carefully-aimed jibe towards Court suggesting it is time to rename Melbourne's iconic Margaret Court Arena in the wake of the furore.More news: Meet the UAE CBSE topper who just broke an IHS record
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Dellacqua wrote "enough is enough" on her Twitter account and posted a photo of a 2013 letter Court had written to a local newspaper criticising same-sex parenting after Dellacqua's partner Amanda Judd had given birth to their first child.
Stosur added: "It's been pretty fiery".
"I'm not intimidated because I know who I am, I love family and I just stand up for righteousness and truth", she said. Court is still deeply troubled by the fact Waleed Aly was apparently rude to her, and didn't get it out of her system in her Herald Sun letter. "The court's named Margaret Court Arena because of what she did in tennis, and that's why basically", she said.
"I agree with Peter FitzSimons' statement that "Tennis is an inclusive game, and ever more inclusive in the 21st century". 'I believe in marriage as a union between a man and a woman as stated in the Bible.
Speaking after she beat former world No.1 Jelena Jankovic in straight sets at the French Open, the Dutchwoman said: "I don't think you [Court] should be that outspoken".
Australia has been criticised by worldwide human rights groups over its slowness to act on same-sex marriage.