Out of pocket in the private

I had to pay for the anaesthetist (which is bizarre, surgery without?) but almost everything else was covered by my private health insurance. I pay for check ups but now only once a year for both oncologist and surgeon and I do get part of the fee back. In the tumult of diagnosis and surgery it’s easy to forget to ask about costs but it’s perfectly OK to do so. Best wishes. 

All I paid was around $300 gap for the anaesthetist. My surgeon hasn’t charged me a cent so far and I had two surgeries and all my follow up appointments. 

I 'negotiated' with my surgeon ahead of time.  Most of them do if you are using a private hospital.  Also, your health insurance would list the surgeons who are signed up to the no gap fees.
The medication costs were high as these are now all 'outsourced' - good lurk for the hospitals.
My heaviest bill was the anesthetist (which had to be paid ahead of time) but as I went back for 2 additional surgeries they kindly did not charge fees after the 1st operation.
When I had knee surgery I did have to pay something for his assistant surgeon but cannot remember how much.
I'd suggest speak to him/her at your next appointment and he/she may negotiate.
Good luck.