THERAPISTS, COUNSELLORS OR COACHES come from different backgrounds, nursing, social work, physiotherapy and also completely unrelated fields. Only some of them are also psychotherapists. They cannot belong to the FSP (specifically for psychologists). Some of them do a very good job, however and for your protection, you need to check they are certified by the Swiss Association of Psychotherapists (ASP) and authorized to practice as such locally.
In Switzerland, anyone who handles your health is meant to request and obtain the authorization to practice by the canton’s Health Department.