Ms Dyhrberg said Eddy was "distraught``after his arrest this morning.
Judge Hubble said media could take photos only on the basis that the image was pixilated.
He remanded Eddy in custody over the Christmas period and he is due back in court next month.
Ms McCallion's body was found by her mother in a sleepout at the family's south Auckland home on Wednesday morning.
She had spoken to a family member at 8.30pm the night before she was killed.
It is understood she was found lying on the floor by the door of the sleepout, which is attached to the family's Cotton Place home but has its own outside door.
Police have not revealed the weapon used to kill the 23-year-old hairdresser but have described it as sharp.
The Herald reported last week that there were no signs of forced entry at Ms McCallion's home.
She grew up in Papakura, attending Opaheke School and Rosehill College.