I kind of get what you're saying and yes, she's been empathetic and well spoken during the events - doing what one expects a PM to do in such circumstances, no more no less. A job well done.
But what I'm not understanding is the kind of messianic worship. How is she doing things differently to other competent leaders under similar circumstances? Bill Clinton after Oklahoma City, Barrack Obama after Sandy Hook, Francois Hollande after the Paris attacks, or even John Howard after Port Arthur? As far as I can remember, all acted similarly, as one would hope and expect of their Political Leaders in such circumstances. And as such, I'm not sure what she is doing differently to what any other NZ PM would have done.
I even heard a conversation on the radio where one person was saying, how lucky NZ was to have such a PM. The other was replying that there's nothing lucky about it, NZ voters are so so smart, empathetic and compassionate to vote in such a leader - which is a total exaggeration. It wasn't anything as romantic as that. There was a hung Parliament, Winston Peters, from the right-wing populist NZ First Party was king maker and could have chosen either side. He went Labor due to the better political deal they offered him and hence Ardern is PM. Nothing inherently wrong with that, but it appears as the western world has abandoned religion, they are turning to other demigods to worship and create mythology about, as opposed to looking at things objectively.
Again, nothing mean spirited meant to Jacinta Ardern herself, she's been good. But I find the aura around her as eerily similar to religious worship.