Good Morning Tenshi, for starters you may want to google this and see how you get on,
'how to get a mental health service dog Australia', you may have already plus,
-'emotional support animal Australia dog'
-Centre for Service Therapy Dogs Australia email@example.com 0458 458 541
- positiveresponse.com.au/assistant-dogs 07 3459 2121
- minddog.org.au 0490 850 993
- awaredogs.org.au 1300 99 2213
Tenshi, these are in different States and may offer you what you're after, but I'd like to know how you get on, and the site that said there was a 'waiting list' I can't find it.
Hope this really helps you.