There is no difference between counselling and therapy they are interchangeable words.
Anyone can set themselves up as a counsellor in private practice with very little training ( you should always ask for proof of qualifications and experience ) Good therapists take years to qualify and they should not know giving you their opinions, telling you what to do, or making it all about them. Self disclosure should be used extremely sparingly as only for a very specific reason to help the client.
Professional counsellors must be registered, most are accredited which is a lot of work to get, and take years to qualify. They will also have had therapy themselves and do much self awareness work in their training. They also have to belong to a professional body BACP , UKCP etc and uphold stringent ethics to continue to practice including CPD/extra training each year to keep up to date. Look on professional registers to be sure your counsellor is good enough . Good luck with it al