"One in every five dollars generated in the economy either directly or indirectly comes from the agri-food sector.
"Yet it does not feel like we get anywhere near this level of resourcing or attention.
"The endless gnawing away at services for rural communities has to stop. Rural Kiwis have lost their hospitals and schools. We are facing under-funded health services, emergency services, midwives and airports."
Ms Thompson and RHAANZ chairman Martin London will meet Mr O'Connor next Thursday to discuss the government's funding offer.
"RHAANZ has a vital function in bringing a cross-sector rural health, rural industry and rural community voice to both enunciate rural health issues and to identify and resource solutions," she added.
"For the organisation to disappear from the scene, at a time when rural health itself is as precarious as ever, would be a terrible loss of goodwill, synergy and expertise.
"There are only two other national rural health alliances in the world, and both have received central funding in recognition of their value to both government and communities. New Zealand needs to follow that lead."