A 31-year-old man charged with the woman's murder has been referred to a psychiatric hospital.
A lawyer for the man, who cannot be identified, appeared in the Auckland District Court yesterday afternoon.
The defendant did not appear in court. He was scheduled to appear via audiovisual link but Justice Steve Bonnar said he was refusing to do so.
Justice Bonnar ordered that the man be detained at the Mason Clinic. The defendant will appear in the High Court at Auckland on August 24.
On Saturday morning, residents in their pyjamas watched as police spoke to neighbours.
Firefighters used a crowbar to bring down a fence to gain access to the man, who was later taken into custody.
A man living a few doors away was alerted by a neighbour.
"He said 'there's police with guns on the street'.
"It's very scary that this can happen in your own backyard."
Another person saw a blanket covering the woman's body on the property's driveway.
When the Herald visited the area late on Sunday, cordons remained in place at the properties where the woman died and the Dryden St property where the man was arrested.
Police officers in boiler suits were walking around the area, with uniformed officers guarding the entrances of the properties.
Detective Senior Sergeant Lisa Anderson confirmed the victim and alleged offender were known to each other.
Anyone with information that may assist police is encouraged to get in touch via 105 and quote file number 220629/5104.
"Police continue to support her loved ones and we extend our deepest sympathies to her friends and family," Anderson said of the victim Ozyurteri.