Bacsinszky opened up a 4-0 lead in the third set before wrapping up the match. "The courage and the force you give me is just unimaginable".
Finding it increasingly tough to manage the crowd, Muguruza nearly broke down, eventually losing the deciding set 3-6 - a fact that also meant no former French Open champion would be in the quarter-finals at the Grand Slam.
"I don't feel so well", an emotional Muguruza said.
The 24-year-old tweaked her back on the eve of the tournament and has struggled on serve ever since.
Mladenovic overcame her struggles on serve to eliminate Muguruza 6-1 3-6 6-3 despite making an astonishing 16 double faults, leaving last year's victor complaining about the fiercely partisan crowd on Court Suzanne Lenglen.
Muguruza left the court visibly unhappy with the partisan crowd, and afterwards the tearful Spaniard admitted that they had made it extra hard for her. Its all behind me now, so whatever happens in this tournament is not necessarily my concern anymore.. I'm not ideal, I make mistakes. "I speak five languages and finished high school [but] she stopped her studies". But it's always tricky when you have to defend your title and you have someone that's going to be a tough match, no matter in which country you play. It's thanks to you that I fought for every point.
The French Open will have a new Queen.
She nearly pulled out of her first match but her condition improved afterwards, although the 24-year-old, who will be playing her first fourth-round match at Roland Garros, said her back is still stiff.
Sri Lankan passenger threatens to blow Malaysian Airline flight
Eventually, heavily-armed security staff wearing camouflage uniforms and helmets entered the plane and arrested the man. Victoria State premier Daniel Andrews offered government support for the passengers stranded by Wednesday's ordeal.
"Well, I think the crowd today was a little bit, obviously, tough for me", she said.
"I just think that they sometimes should be a little bit more respectful, even though for the game, because we had to stop. There was a few points that she played well at the end of the match, and kind of that was it".
The eighth-seeded Svetlana Kuznetsova lost to Caroline Wozniacki 6-1, 4-6, 6-2. After losing her crown on her 33rd unforced error, she walked off, briefly wagging her finger at the partisan home crowd.
"It's obviously very terrible what's happening or what's happened the last few weeks and obviously what happened here (in Paris) in the past, as well", Wozniacki said. "I'm just gonna say that I understand". I don't think that they crossed the line.
"I am in the quarterfinals, and I am healthy and I am playing well". At age 19, the 47th-ranked Ostapenko is also the youngest player in the tournament.
After beating Carina Witthoeft 7-5 6-1, the Czech said: "Well, [I'm] surprised that I'm in the fourth round here".
Nadal continued his ruthless form at Roland Garros by dispatching Spanish 17th seed Roberto Bautista Agut 6-1, 6-2, 6-2 to match Roger Federer's mark of last-eight appearances in Paris.
But Muguruza said she felt the crowd lacked respect at times.
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