How about looking in the phone book? Many countries still have those. Maybe just bypass the doctor recommendation to a T and try stuff like the phone book, googling, etc. Or ask at a university in the department that trains therapists. They may not have their own clinic, as was suggested earlier, but they may be able to tell you where the people they've trained are practicing. If you think none of those will work, I wonder does it mean that your new country does not have therapists? It's hard to know the culture without more to go on.

Here is a site that therapists belong to from different countries and you can search for a therapist near you. They have a range of countries:
http://www.goodtherapy.org/international-search.html
I tried Canada, France, and Argentina and there were therapist listings. I tried Switzerland and Mexico and found none (in the therapist division).

Good luck.