the city of knox council made an ` administrative decision ' to kill izzy .
an appeal to save the dog has begun in australia 's high court on tuesday .
the staffordshire terrier bit a woman in august 2012 .
she suffered a 1.5 cm cut but it was classed as a ` serious injury '
council decided to destroy izzy during a council panel meeting .
normally a magistrate decides whether a dog should be killed .
the barristers animal welfare panel are fighting her case at no cost .
if they win the council will have to pay legal fees .
rspca sa offered to take izzy and assess her for rehabilitation .