Why would a counsellor decide to stop seeing me

Sometimes a counsellor will decide that it is best to stop working with you, and this can come as a shock if you believe that you are getting on well. There could be many reasons why this needs to happen. The counsellor may decide that you have a problem about which he or she knows very little, and that it is better to recommend you see someone more skilled in that kind of problem. He or she may feel that his or her particular approach or model does not match your needs or personality. Or he or she may think he or she has given you all the help that he or she usefully can, and that it is time for you to look for a different kind of support.
Any of these situations could make you feel rejected, or even that you are a failure. But in fact knowing when not to continue is a sign of the counsellor's professionalism. If your counsellor decides to stop the therapy, the reasons should be made very clear to you, precisely so that any misunderstandings are avoided.
I will briefly mention transference and countertransference: the feelings that can develop in a client towards the counsellor (transference) and the reciprocal feelings experienced by the counsellor (countertransference). These are sometimes acknowledged and sometimes not. It is possible for a client to feel very dependent on his or her counsellor, maybe unhealthily so. It also happens that a counsellor can start to over-sympathise with a client, or to feel dominated by feelings aroused by work with the client, to the extent that he or she loses his or her balanced view of the person's situation. The counsellor's first move should be to discuss these issues with his or her supervisor so that they may be taken up appropriately and constructively in sessions. However, it may reach the point when feelings in the sessions may be so overwhelming to the client, the counsellor, or both, that ending the therapeutic relationship is for the best. In this instance, the counsellor would be responsible for recommending or handing you over to a colleague.