Insurance for not-4-profits is generally organised by 'placing' the insurance through a 'broker'. 

The insurance covers for liability to the public on events and projects requires understanding of the risks for the activities of the organisation for the organisation itself, its officers, members, volunteers and the public.  These risk are covered in other posts.  This post addresses the process of getting the required insurance.

First industry bodies, such as the Insurance Council of New Zealand usually have sections on broker conduct. For New Zealand see:

https://www.icnz.org.nz/industry/industry-regulations/

and which is excerpted here in italics

Broker conduct

Many people buy insurance through an insurance broker. New Zealand regulation sets professional standards for all financial advisers, including insurance brokers, under the new financial advice regime under the Financial Markets Conduct Act 2013 Financial Advisers Act 2008, which is enforced policed by the Financial Markets Authority.The new financial regime increases will increase professional standards for all financial advisers, requiring advisers to put clients’ interests first and adhere to certain conduct and competency standards ..... The new financial advice regime, including the code, came into force on 15 March 2021.

For Rotary, as an international non-government organisation, insurance is a requirement and is organised either internationally or at Zone level.

This is done through 'master' policies.

Your organisation, if like Rotary, which has Insurance Officers will manage the process of obtainig and renewing insurance. 

For Rotary organisations in Oceania you can raise a question or issue on a specific matter by filing a Helpdesk ticket or if a general question post to this Forum.