Hsieh, world No. 88, needed almost two hours to claim one of the biggest upsets so far at Melbourne Park, reports Efe.
"I do a little bit better today and try to hang in there. I know the weather is going to be a little bit tough today because I heard the weather is going to be over 39 degrees," Hsieh said.
"I was thinking, 'Ah, I'm from Asia. I maybe can handle it better than other girls,'" she added.
Muguruza, the former world No.1, now ranked third, came to the court with a bandaged thigh after suffering leg cramping, which forced her to withdraw from the Brisbane International and Sydney International tournaments.
The reigning Wimbledon champion ended up losing a tiebreak in the first set that lasted more than an hour.
In the upcoming round, Hsieh is due to play Poland's Agnieszka Radwanska, who beat Ukraine's Lesia Tsurenko 2-6, 7-5, 6-3 in a second-round match.
Meanwhile, former world no. 1 Karolina Pliskova qualified for the third round, defeating Brazil's Beatriz Haddad Maia 6-1, 6-1 in just 44 minutes.
The Czech Republic's Pliskova, now ranked sixth, is to face her compatriot Lucie Safarova, who beat the Romanian Sorana Cirstea 6-2, 6-4.
British world No. 9 Johanna Konta was sent home by Bernarda Pera of the United States 4-6, 5-7 in an hour and 40 minutes.
France's eighth seed Caroline Garcia also advanced into the third round after getting past Czech Republic's Marketa Vondrousova 6-7 (3-7), 6-2, 8-6.
(This story has not been edited by Social News XYZ staff and is auto-generated from a syndicated feed.)
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