Mortimore says her rescuers lit a fire and gave the woman hot food and fluids, which warmed her up.
The woman and her rescuers were winched out in a Westpac Rescue Helicopter and taken to Raglan Fire Station.
She has been checked over and was well.
Police say if she had stayed any longer in the bush, she would have suffered hypothermia.
Earlier, Mortimore said the tourist went into the bush for a day tramp about 10.15am yesterday.
She had supplies but only enough to last her for her intended journey.
Fortunately she had a cellphone but by the time she called emergency services she only had 7 per cent battery left.
Three search and rescue staff plus a dog were winched into the area at 9.15pm, he said.
"She went in yesterday morning for a walk and got lost and so alerted us late yesterday afternoon and we deployed with search and rescue with the assistance of a helicopter and they located the person at 3.30am.
"They stayed overnight with that person and are about to winch them out this morning."
Mortimore said despite the low battery, search crews were able to get co-ordinates of her location off her phone.
"However, the first lot of co-ordinates were incorrect but they were able to use the second lot of co-ordinates and were able to hear a voice but it was travelling across two gullies which took a substantial amount of time to find her."
Mortimore said it was a timely reminder for people wishing to go for a tramp, that due to the current variable weather conditions at the moment, they need to be prepared and have extra resources just in case things don't go to plan.
"She only had 7 per cent battery on the phone so she probably had a very low level of battery when they entered [the mountain] anyway which then made it even more difficult to communicate with her."
