I can't advise regarding services in Australia, but I'll mention some options in the US and maybe there are parallel avenues there.
Universities sometimes have a psychology or psychiatry "training clinic" that sees patients on a sliding scale. (Sliding scale means, no fixed rate, people with low incomes pay less.)
Cities and counties sometimes have a community mental health center that, likewise, chargers on a sliding scale.
Other than that, you can google "mental health therapist" and your locality, see what comes up, check their websites and under the "Billing" tab, see if they mention a sliding scale.
Good luck! I hope this works out for you.
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A finger in every pie.