The Westpac Rescue Helicopter struggled to find somewhere to land in the steep terrain near where Ms Callaghan crashed and an on-board medic had to intubate her before she was flown to Auckland.
Ms Callaghan, who was wearing a helmet, suffered a serious head injury and was in an induced coma at hospital.
Ms Callaghan was the victim of the second serious quadbike accident last week after 10-year-old Sam White was killed at a farm in Wairarapa a day earlier.
It was the third quadbike death this year and prompted calls for a review of safety regulations.
Chief Coroner Neil MacLean said at the time that safety messages around the use of quadbikes could go a long way to preventing utterly unnecessary deaths.