Serena Williams was penalised a game for calling the chair umpire a thief during an extended argument as the U.S. Open women's final.
The second violation also cost her a point in the match, sparking her renewed verbal attack on Ramos, a code violation which carried a $US10,000 ($A14,000) fine.
Osaka then admitted the whole thing was hard on both sides, saying: 'I know that everyone was cheering for her.
She said: "Ever since I was little he's always been telling me these wise words but I've never really wanted to listen".
Williams put an arm around Osaka's shoulder and told the crowd: "I know you guys were here rooting, and I was rooting, too, but let's make this the best moment we can". I just want to tell you, she played well. She has had a series of run-ins with officials at the Open, the Grand Slam event that she has won six times but that she has also been eliminated from four times in matches with contentious officiating. "The fact that I have to go through this is an example".
Williams objected right away, saying she would never cheat.
Williams said the incident strengthened her belief that women players are treated differently to their male counterparts in the sport.
It was the second Grand Slam final defeat in a row for Williams, after Wimbledon in July, as she seeks an initial major title since returning to the tour after having a baby in 2017.
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"I've seen other men call other umpires several things and I'm here fighting for women's rights and for women's equality and for all kinds of stuff, and for me to say thief and for him to take a game, it made me feel like it was a sexist remark".
Osaka ahead 15-love, Williams told Ramos he should have retracted the initial warning for coaching.
This was the third high-profile conflict with an official for Williams at Flushing Meadows, following her infamous tirade after a foot fault in the 2009 semifinals against Kim Clijsters, and a dispute over a hindrance call in the 2011 final against Sam Stosur.
Osaka's current clothing contract with adidas runs out at the end of the year and she is now perfectly positioned to secure a multi-million-dollar deal, along with many other endorsements.
USTA president Katrina Adams issued a statement calling Williams an "inspiration" and praising Williams for her "great deal of class and sportsmanship" on the podium. He's never taken a game from a man because they said 'thief.' For me, it blows my mind, but I'm going to continue to fight for women and to fight for us to have equal coordination - to be able to take our shirt off on the court without getting a fine.
"I've said far worse", McEnroe, a seven-time Grand Slam singles victor, said on ESPN.
"Being called a cheater, she felt even more humiliated", Mouratoglou said.
Mouratoglou took to Twitter afterwards, hitting out at Ramos.
But as the dust settles, Osaka, Williams and those who watched are all starting to parse Osaka's achievement from the controversy that had transpired. How many other men do things? "Second, we all know that all the coaches coach at every match, all year long, from the first of January all the way to the 31st of December".
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