The Ukrainian hit a solid 16 winners and made 24 unforced errors, and won an impressive 74% of points on her first serve - which she made 53% of the time.
She was fined $15,000 by the French Open tournament referee for declining to appear at a mandatory postmatch news conference and warned that she risked stronger penalties, including default from the tournament, if she continued not to fulfill her media obligations.
That surprisingly stern warning was delivered in a statement signed by the leaders of the four Grand Slam tournaments: Gilles Moretton, the new president of the French Tennis Federation; Mike McNulty, the new head of the U.S. Tennis Association; Jayne Hrdlicka, the head of Tennis Australia; and Ian Hewitt, chairman of the All England Club, which runs Wimbledon.
"I think now the best thing for the tournament, the other players and my well-being is that I withdraw so that everyone can get back to focusing on the tennis going on in Paris", Osaka wrote in a statement released via her Twitter account Monday.
"The press is part of the job", she said.More news: Why a commission to investigate January 6 was not established
"We have advised Naomi Osaka that should she continue to ignore her media obligations during the tournament, she would be exposing herself to possible further Code of Conduct infringement consequences".
Osaka conceded that the timing of her previous announcement was "not ideal" and her message could have been clearer, but noted that she has suffered long bouts of depression since her victory at the US Open three years ago.
"You want to win a Grand Slam", Osaka said.
She had said last week on social media she would not speak to the media and kept that promise.
Osaka, who is based in the United States and represents Japan, is the world's highest-paid female athlete, with the bulk of her earnings coming from sponsorships.
After her match, Osaka agreed only to a cursory on-court TV interview.More news: Belarus: Foreign Secretary welcomes ICAO fact-finding mission into diverted flight
Osaka, a four-time major champion and the No. 2 seed in this clay-court Grand Slam, announced Wednesday that she would not be participating in any news conferences during the tournament, citing her mental health as the motivation for the decision.
Osaka, 23, also revealed that she has experienced depression and anxiety since winning her first major at the 2018 US Open and explained that speaking to the media often makes her nervous.
"A core element of the grand slam regulations is the responsibility of the players to engage with the media, whatever the result of their match, a responsibility which players take for the benefit of the sport, the fans and for themselves".
German 26th seed Angelique Kerber, a three-time major victor, was the day's biggest loser in the women's draw, going down to 6-2, 6-4 Ukrainian qualifier Anhelina Kalinina.
Osaka is in her prime as a player and quickly becoming the face of women's tennis, with her enormous skill set on the court and the 39-year-old Serena Williams in the twilight of her career.
Osaka is scheduled to face Romania's Ana Bogdan in the second round.More news: Hancock: 'It took time to build the testing' for care homes
"It's much, much different when you suddenly get a success".