It is hard to doubt the real "authentic" nature of the relationship, to wonder if they are faking it or not? As I've read online about therapy and on this forum, I have seen that sometimes herapist show they care described as "a hug with words". Trust yourself and your instincts. If you feel that, then they do care. If you are going through transference(like I did and still am) they will be very careful what they say in order to avoid giving you the wrong impression. If you honestly don't feel that your therapist cares about you, in the sense of a doctor/patient relation, then find someone else.