There a few options for you in this situation, and it depends on what is available in your local medical system. Firstly, a one month wait to see any kind of specialist in our country today is actually pretty short. When I was diagnosed with PMR 3 years ago, the waiting time for a rheumatologist consultation was 11 months. Fortunately, I was able to see a general medical nurse practitioner on an urgent basis who was able to get my case reviewed by a rheumatologist via the medical record system. He agreed with the diagnosis, got me on the appropriate prednisone dose, recommended the appropriate blood tests and tapering schedule, and then everything went well managed by my PCP.

Alternatively, it would be totally reasonable for you to be treated for a month with the lowest dose of prednisone that keeps you pain free while you are waiting for the rheumatologist.