The first, Garbine Muguruza, No4 seed and defending champion, had not had it easy: Schiavone in her opener, the fast-rising 21-year-old Anett Kontaveit next, then No27 seed Yulia Putintseva, but now she had one of France's own daughters, No13 seed Kiki Mladenovic.
The Spaniard, champion here previous year, had been complaining about the vocal and fiercely partisan crowd on Court Suzanne Lenglen during her match against France's Mladenovic when she was overcome by emotion.
"Sometimes", she added, "(fans) should be a little bit more respectful".
Muguruza, who lost 6-1 3-6 6-3, came back after a minute and said she would take any question. "I don't know how to explain", said Muguruza, whose post-match press conference was briefly interrupted when she broke down in tears and left the room before quickly returning. "It's all behind me now, so whatever happens in this tournament is not necessarily my concern anymore".
Asked again about the French crowd's behaviour, she said: "Let's say I understand".
Mladenovic had never made it past the third round in Paris.
The last repeat women's champion at Roland Garros remains Justine Henin, who won the tournament three consecutive years from 2005-07.
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That gets him to three under on the round and puts him in contention on the weekend for really the first time all season. Jordan Spieth , Justin Thomas , and Jamie Lovemark are eight-strokes off the lead after two-rounds.
These two have split their only two meetings with Bacsinszky winning in this years Davis Cup and Mladenovic winning in the 2016 Eastbourne International. You give me the courage and strength to keep going in every point. Garbine Muguruza takes the match, winning 6-2, 6-4. In addition, all eight women who play in the fourth round Monday are seeking a first major title, so it will be the first French Open since 1977 - and first major tournament anywhere since the 1979 Australian Open - without a past Slam champion among the quarterfinalists.
Heading into this French Open, many figured the women's draw was wide open, because of the absences of Williams' sister, Serena, and Maria Sharapova. However, Mladenovic has had the most impressive victories, which is more encouraging, while besides her win over Venus, Bacsinszky has beaten up on players ranked outside of the top-50. "I mean, I love playing here".
Muguruza was joined by Venus Williams, Svetlana Kuznetsova and Sam Stosur in exiting the tournament, meaning the women's event will have a new grand slam champion.
Carreno Busta reached his first Grand Slam quarterfinal the hard way, wasting six match points through a combination of unforced errors and big winners from Raonic.
Muguruza, who was seeded No. 4 in Paris, beat Serena Williams in the French Open final a year ago.
When Muguruza's complaints about the crowd were relayed to Mladenovic, she said she thought it was just as tough on her, because she had to deal with the burden of thousands counting on her to win.