Tb12, I'm very sorry for all that you've been though.
If you feel the Psychologist support isn't helping enough, they would usually refer you on to a Psychiatrist for further assessment.

Psychologists here can't prescribe medications anyway. You would still have your Psychologist for back up talk support and maybe only need to see the Psychiatrist a few times so that they could assess your particular needs.

The Psychologist would normally organize the referral and then either converse with or send paperwork (or both I guess) to the Psychiatrist. If finances are an issue then talk with the Psychologist. Sometimes bulk billing can be organized even for Specialists.