Is it hard to get Dupixent? (Syd, Aus)

I’ve had mild eczema my whole life that never quite went away but was manageable. I flared up in Mid December last year and have been gradually getting worse since. It took about 5 doctor’s appointments to finally get a referral to see a dermatologist. This dermatologist appointment is now 2 weeks away. During these visits at the GP, I was prescribed a number of steroids in the forms of creams and pills which were ineffective. I’m worried the dermatologist might do the same and offer some sort of steroid.

I am desperate for something that works. It’s been 3 months of disturbed/no sleep, pain in my eyelids when I blink. My whole face and neck is completely red and swollen. My mental health has hit rock bottom. Does anyone have any advice they can give that might help me get Dupixent right away?