Why is New Zealand important?
Because it is the FIVE EYES country that was spying on a lot of people/countries and giving it to NSA when Hussein was PREZ. This was revealed by Snowden leaks. John Keys, NZ prime minister, had a lot of answering to do for this.
HRC is probably there trying to get information from them on what Trump knows. That is why they are in a panic. They know that Trump knows everything.
https://theintercept.com/2015/03/04/new-zealand-gcsb-surveillance-waihopai-xkeyscore/
https://yournz.org/tag/five-eyes/
https://www.theguardian.com/us-news/2015/mar/05/new-zealand-spying-on-pacific-allies-for-five-eyes-and-nsa-snowden-files-show
pic John Key with Hussein at WH