The result leaves Czech Karolina Pliskova, the seventh seed, as the only women's top-10 player still in the tournament.
De Minaur had only won one main draw Grand Slam match before this week and was completely outplayed by Nadal, who moved into the fourth round of Wimbledon for the eighth time.
Hsieh, the world number 48, battled back from 2-5 down in the final set and saved a match point when the Romanian served for the match at 5-3 in the decider.
"I am just happy to be in the fourth round again". I am too exhausted.
Top seed Simona Halep became the latest high-profile casualty of the opening week of Wimbledon after losing to Hsieh Su-wei in three sets.
Hsieh thoroughly deserved her win which booked her a fourth-round clash with Slovakia's Dominika Cibulkova.
Halep failed to carry on the momentum, and a huge forehand victor gave Hsieh the first break of the second set and a 2-1 lead.
After Halep started strongly to win the opener it was her 32-year-old opponent who responded well to force a deciding set.
Hsieh continued posing puzzles though and broke in the third game of the second set as she absorbed a fierce baseline barrage before punishing a clumsy Halep volley by spearing a backhand down the line to roars from the crowd.
Oregon Agencies Eye Klamathon Fire, Urge Preparedness
Search and rescue crews may be prohibited from engaging in search missions because of fire danger, the office said. Elsewhere in California, the 138-square-mile County Fire northwest of Sacramento was almost 50 percent contained.
"That's where I want to be, playing on big courts against big players", de Minaur said.
"That's something that I took it all in today".
"A positive match against a player with a lot of energy, some tough moments", the world No.1 told the BBC.
The 14th seed from Latvia will now meet Aliaksandra Sasnovich, who reached the fourth round of a Grand Slam for the first time in her career with a 6-3 6-1 win against 26th seed Daria Gavrilova.
But the Serb managed to refocus after a lengthy complaint to umpire Jake Garner.
"It was an important point. It didn't make sense".
Juan Martin del Potro made the last 16 for the first time in five years when the Argentine fifth seed defeated France's Benoît Paire 6-4, 7-6 (7/4), 6-3.
Alison Van Uytvanck also took the scalp of another seed.
Switzerland's Belinda Bencic, a former top 10 player whose ranking slumped out of the top 300 past year after wrist surgery, made the fourth round for the second time with a 6-1, 7-6 (7/3) win over Spain's Carla Suarez Navarro.
His departure came during a scandal that led to the ouster of Fox News Chairman Roger Ailes and top-rated news host Bill O'Reilly. Shine and Sean Hannity rose up the ranks at Fox News together, and the two men remain close friends.
It's our turn this time, hopefully. "I suppose deep down I've always held those beliefs and held my own values", Southgate said. That's something we've got to think about tactically", he added. "It never looked like we were going to lose".
Les services de secours essayaient de sauver des habitants réfugiés sur les toits de leurs maisons en grande partie sous les eaux. L'agence de météo a placé en alerte maximale plusieurs régions mettant en garde contre des risques très grands de dégâts majeurs.
Sharan and Sitak eked out a 7-6 (4) 6-7 (8) 6-3 6-2 win in two hours and 41 minutes to book a second round berth. Not because of time violation. "Hopefully it's nothing that will concern me", said Djokovic.
Il s'avère que le Mexique , notamment la ville de Tultepec est endeuillée par de nombreux accidents similaires. C'est rageant parce que nos collègues pompiers (.) finissent par perdre leur vie en sauvant ces gens".
Au lieu de coopérer, Londres préfère créer de la confusion et intimider ses propres citoyens", a tweeté l'ambassade. La police anti-terroriste a été associée à l'enquête, à titre "procédural", a indiqué Scotland Yard.
Howard had a solid season past year in Charlotte, averaging 16.6 points, 12.5 rebounds, and 1.6 blocks per game. Howard himself should be quite excited to finally get to suit up on the court with his good friend Wall.
Beryl in the Atlantic, new system off NC coast
From 1950 through 2017, the average number of named storms has been 11 (though from 1981-2010, the average has been 12). ET, the depression had winds of 30 mph and was located about 230 miles east-southeast of Cape Hatteras, North Carolina.
Euroleague Basketball mourns Tyler Honeycutt
He appeared in 24 games for the Kings in two seasons, spending most of his time in the Kings' G-League affiliate, Reno Bighorns. When officers arrived at the home, near Riverside Drive and Tyrone Avenue, the suspect opened fire on them, authorities said .