It's impossible for me to say if there's a danger in not choosing a psychologist in your country. I think you should go with your gut feeling, but also try a psychotherapist just to see.

Where I live, there are a lot of masters level therapists who used to work in state social and health agencies (it's the capital city, seat of state government). In my opinion, they are just not very good at dealing with complex issues. They are better at short term goal setting, and even then I question their competence (I know several in my regular life). I've had to go out of town to find a good therapist who was referred to me by a psychologist. Just talking to the psychologist on the phone, I could immediately tell the higher level of competence. That's not to say that psychotherapists aren't just as good (mine is excellent) or that all psychologists are wonderful, just that where I live it's been a real mixed bag--mostly poor quality psychotherapists.