*squishes*
I live in Australia also, and have been admitted to hospital several times. In order to do so I expressed concerns to my treating psychologist that I couldn't keep myself safe and I needed her help, and upon discussing the option of hospital decided it was the best one.
I have also, however, gone through by talking with my doctor (just my GP) having them do the referral for me and call up the hospital and such things, so if you have no luck with your psychologist a good idea perhaps it then your doctor.
I can identify with your post massively because this was the same situation I had before I was admitted last time, I felt my psychologist wasn't listening to me and she would refuse to sign forms for me or discuss hospital, and it got to the point where I felt nobody was taking me seriously, I planned to end it, but luckily the day before sought help from a (completely unknown) doctor at the clinic and she called the hospital and admitted me.
So yes, there are options. Stress to her that you feel it best for your wellbeing. Maybe even write down how you feel before hand. If she doesn't comply, then don't give up, there
are other ways to get yourself the help you deserve.
Let us know how things go for you.
Best Wishes,
Aimee xo
Also, you may or may not find it handy but there is a section on
Psychiatric Hospitals on the main site. Though you say you've been in one before so you know a bit of what to expect, and with that knowledge if you think it is what you need to help you then do it in your best interests.