This is a worry for many of those thinking of applying for a Visa to New Zealand. In my experience even those who believe themselves to be of perfect health get nervous before a medical examination.
So to those who know there is an issue the first thing is to check if the medical condition will actually definitively exclude you from New Zealand. The list is thankfully surprisingly small but there are medical conditions that are considered, or may be considered, ‘too expensive’. Any medical that needs to be looked at more carefully is automatically referred to the Medical Assessor in New Zealand for their view.
This automatic referral and reporting back is not going as fluidly as hoped when it started. I am confident this is being worked on, but, as I write this, it is taking six weeks or longer for a referral to be dealt with.
There is no point hassling your Immigration Officer as they are powerless to do anything, You can, however, help yourself by having all your medical information to hand when attending your Panel Doctor appointment. If you don’t it will be requested and time is wasted while getting this sorted.