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When contacted, Ms Lim’s husband, Carlos Bagrie, said they planned to turn the garage of Murphy’s Cottage at 1 Merioneth St into a "little grassroots" farm shop.
It was hoped the store would connect the community more to how food was grown and raised in the most local way possible, Mr Bagrie said.
The Queenstown Lakes District Council is considering an application from the couple’s company, Royalburn Station Ltd, to operate the store, which sits in the Arrowtown residential historic management zone.
It would open six days a week, operated by one or two staff.
The property is estimated to have been built between 1875 and 1882.
Murphy’s Cottage would not be affected by the proposal at all.
The garage previously housed a jewellery workshop.
Proposed work involves some minor alterations to the 1970s-built garage and the removal of one of the post-1940s sheds for a car parking area.
In its submission supporting the application, the Arrowtown planning advisory group said the farm produce store "nicely reflects" the rural origins of Arrowtown and its historical connections with the Crown Terrace.
The store was "low-key", would not affect how the cottage itself looked and did not constitute commercial creep that would affect the character or amenity of the area, it said.
Arrowtown Promotion and Business Association manager Nicky Busst would not directly comment on the couple’s plans, but said a store of that kind would be good for Arrowtown.
"It would be the perfect fit for us," she said.
Ray White Real Estate’s website notes the property was sold in February this year.
Ms Lim won MasterChef New Zealand in 2011, and she and Mr Bagrie are co-founders of NZX-listed meal kit home delivery service My Food Bag.
The couple bought Royalburn Station in 2019.