Hi Helen,
Welcome to Susan's. The best TG family on the web, bar none. You are certainly among friends here, and I hope you enjoy your stay.
The Gender Centre have a very good resident therapist that may be able to satisfy your initial requirement, before proceeding on to GP/Psychotherapist/Psychiatrist. I current visit him and will use him as my second medical referee.
Dr. Jon Hayes is a very respected Endo in Sydney for the TG community. He practices at St. Leonard's, Bondi Junction and Mona Vale. Very easy and accommodating man. As for Psychiatrist, I'm not fully conversant with ones in Sydney, as I use the Head Psychiatrist, NSW Health Commission Northern Region, for several reasons. Regrettably he may be a bit far for you, as he practices at Warners Bay, which may not be convenient for you.
If you would like further details or information, I have PM'd you with my contact details. Until you have 15 posts, you will not be able to PM me back.
Looking forward to hearing more of you in the coming months. In the meantime, be safe, well and happy
Lotsa huggs
Catherine