You're right. New Zealand is not a major force in the world. But it is a member of the commonwealth.
The Commonwealth comprises 53 countries, across all continents. The members have a combined population of 2.4 billion people, almost a third of the world population, of whom 1.26 billion live in India, 220 million live in Pakistan and 94% live in Asia and Africa combined.
So maybe she can exert some influence there.