I've just met a psychotherapist for an assessment interview, the last one of three, to determine if I can qualify to be treated at their centre. I've been through a lot of therapy and if I can give you some advice:
You may be afraid to lay bare your soul but it is their job to listen and guide you. They have listened to people who have been abused, raped, depressed, your problems are not going to make them run out of the room. I have never met any therapist, psychologist, psychiatrist or psychotherapist who were daunted or disgusted by my problems.
Also don't think they are God either, if they offer you a cheap route, discuss all the pros and cons. Sometimes budget constraints create bureaucracy and they might not give you the best treatment for YOU. Is it free in Hungary?
If it is CBT they are offering, more often than not they might work through a module or step by step based, structured therapy. This may involve lots of sheets and paperwork. Personally this did not work for me but only because I don't just have SA. If your problems are just SA based then it might be beneficial. On that note you could ask the therapist if they think your problems are more profound, in which case you might need psychotherapy (in depth talking).
I take a note pad and pen to write down important things they may tell you. I also sneakily take in a voice recorder and put it in my bag so that it's discreet.