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Frontier Touring and Brent Eccles Entertainment said in a statement the North Shore teenager would not be performing a second show in Dunedin.
Lorde's debut album Pure Heroine scaled the US Top 10 and amassed platinum sales throughout the world, and she won Grammy awards for Best Song Of The Year and Best Pop Solo Performance last year.
Other accolades include Best International Female Artist at The Brits, a swag of NZ Music awards and Best Rock Video at this year's MTV awards.
Lorde's other New Zealand concerts will be in Auckland (November 1), Wellington (October 31) and Christchurch (October 27).