An emotional Mr Kuik held out his arms to Whakatane Land Search and Rescue co-ordinator Dale Walker minutes after he jumped out of the helicopter that had brought him in from the bush.
Mr Kuik had walked about 12km as the crow flies, but searchers believe he would have covered at least three times that distance as he tried valiantly to return to the campsite he and two hunting companions had set up on Sunday.
A cake maker and owner of the Sweet Secret Cake House in Manurewa, Mr Kuik had left for his hunting trip on Saturday.
A search and rescue operation was launched on Sunday when he did not return after leaving his party's campsite near the Waititi Stream in the Waimana Valley that afternoon.
Mrs Kuik admitted that after receiving a call on Monday afternoon that her husband was missing, she decided not to tell his elderly parents until later that day.
"They had gone out but I was home with my children. I called out to one of my boys, 'Come, we need to pray. We have to pray for daddy.'
"I didn't want his parents to worry. At that time I wasn't worried because he is very experienced. But Monday night was the hardest because the weather was very bad. I kept thinking about the conditions and whether there was flooding."
The Herald was with Mrs Kuik when her husband phoned for the first time since he disappeared. She was only able to hear him ask, "Can you hear me?"
"It was nice to hear his voice," she said with a smile.
Mr Kuik finally came out of the bush last night around 7.30pm. He was taken to hospital for a routine medical check and the family hope to have him home by this evening.
Mrs Kuik thanked the search and rescue team, volunteers and the local community for their efforts to find and bring her husband home.
"I am very happy that everything is fine and he is coming home."
- Additional reporting: The Daily Post, Rotorua