Thanks for posting and welcome to the forum. I don't live in Victoria so cannot give you a direct contact. However I suggest you look on the beyondblue directories. Go to the top of the page and look under Get Support. There is a link which will take to to a number of directories for various medical professionals.
The link will show psychologists and psychiatrists. There is also a link to these professional bodies. The Australian Psychological Society lists their members and you can search by the issues you want to address.
Similarly you can search the psychiatrists professional body.
Failing that I suggest you contact the Kids Helpline on 1800 55 1800 available 24/7. They may be able to direct you to an appropriate service. They are also a good resource to talk about your child and her needs. She may like to talk to them herself. Kids Helpline caters for people up to 25 so it's not just for very young children. They also have a service for parents to talk about their concerns.
I think you should find a suitable professional in these locations. I hope you do and all turns out well.