Here is further information about wig subsidies, specifically about Sydney and New South Wales (NSW), Australia.
The government department you need to speak to is the Program of Appliances for Disabled People (PADP), it is a NSW Government program for people with disabilities.
The role of PADP is to assist eligible residents of NSW who have a permanent or long-term disability to live and participate in their community by providing appropriate equipment, aids, appliances and prosthesis- HUMAN HAIR WIGS ONLY
Our advice is that you contact the NSW Department of Health directly as the website doesn't seem to provide specific information:
73 Miller Street
North Sydney NSW 2060
Australia Postal address:
Locked Mail Bag 961
North Sydney NSW 2059
within Australia 02 9391 9000
outside Australia 61 2 9391 9000
within Australia 02 9391 9101
outside Australia 61 2 9391 9101