Not trying to diminish your argument or anything, but honestly, that still sounds better than the health care system here in the US. It took me 2 months for my first appointment with my GI, and they initially told me it would be 3 months before they could get me in for a colonoscopy (I later called the office, crying, asking if they could move my appointment up sooner - after talking with the nurse, they got me in the following week).
On top of those ridiculous wait times, I have to pay out of pocket for many of my doctor visits, tests, etc. I have insurance but it doesn't pay for everything. It's not just a small amount of money, either. I don't even have a diagnosis yet but my bills are already over $2,000 and climbing.
If you're having problems with the wait times for appointments, try calling the doctor's office. Don't speak with the receptionist, instead ask to speak with the doctor or triage nurse. Tell them you're doing worse and need to move your appointment sooner if at all possible. The doctor or nurse will be able to move things around on their schedule more easily than the receptionist will. If you can't speak with them directly, leave your phone number and say you want the dr/nurse to call you back. That's what I did and it worked for me (crying a little seemed to work as well - I was genuinely upset and frustrated and just ended up in tears, and the nurse became really sympathetic).
Good luck and I hope you are able to get an appointment sooner!