@acallegaro The "free" public option is to go through a CRA (Centre de Ressources sur l'Autisme). You call them and get in a queue to get a joint assessment by a psychiatrist and psychologist. They prioritize kids though, so for adults it can take several years (in my case 3.5) to get a simple 1h first appointment. You are advised to see a private psychologist earlier on your own to get a WAIS IV test and other early assessments. Needless to say, the whole thing is excruciatingly slow, and it is very frustrating to get a +/- diagnosis based on the basis of a single 1h appointment with no follow-up appointment.
The alternative is to go to the private sectors, psychiastrists and psychologists. It's expensive, and they too have long waiting lists. If you are lucky you may find a clinical psychologist working in research at a university, who can help to offer a diagnostic while you become part of a research cohort. I was given the number of a university colleague for that, but she unfortunately was on maternity leave when I tried to contact her and couldn't take me.
It's all a big a mess and certainly not at scale in terms of medical environment, for something that affects more than 1/100 of the population..