There are differing opinions, but I feel that psychotherapy and counselling often overlap, and I find that in my work I do both.
Counselling involves empathic listening and support, through which people gain perspective, find a voice and share their experience without judgement or criticism. This process can be illuminating, empowering, or cathartic. Sometimes sharing your story is a first step towards change. Counselling supports you in dealing with challenging or difficult areas of your life.
Psychotherapy often follows on from counselling, and involves the process of identifying the psychological issues to be resolved. This may involve exploration, insight, discovery and challenge. This process of increasing self awareness needs to be held safely by your therapist. The direction and purpose of exploration or change should be agreed and understood by the client, usually through an agreed contract.
In simple terms, counselling tends to be shorter, often focused on one particular issue, whereas psychotherapy may take longer and be more open to exploration and working at depth.
Feel free to ask for clarification if you are not sure. The initial session is a good time to ask questions.