And fortunately counselors and doctors are humans as well, and you
can find ones that will care personally about you. In this case "friend" is a loaded term, because of course it is true that you are paying for professional services, but on the other hand, friendship is not exactly a well-defined term, and there are some pretty tenuous and abusive reasons underlying a lot of real friendships.
I've had a couple really good counselors, and the sense of trust and genuine caring is actually better than with most friends. Part of it is that there are no social dynamics to worry about within a group of friends, and another is that this person is a professional who has a much greater chance of having the tools and experience to deal with what are very difficult and private issues.
Now my issues were not with trust, so I'm not trying to say that trust is easy. All I'm saying is that there are counselors out there who are worthy of your trust.