First, and I'm sorry that I didn't say this already, but they can't kick you out. They are obligated to treat you. Another thing to consider: yes, maybe they are aware of your health anxiety but maybe they are not. Sometimes our symptoms loom so large in our own minds and bodies that we feel it MUST be obvious to the outside world. This isn't always the case. Another thing to consider is that you did follow the proper channel: calling your primary medical office and you are following THEIR medical advice. That's what you are doing right now, following medical advice.
What your fiance sees probably goes beyond simple labels. I can't speak for him, but you say fiance, so it sounds as though in spite of being "that hypochondriac" he also sees you as a women with admirable qualities that he intends to share his life with. We hate to bring our weaknesses to our significant others, but relationships, ones where you are or will be married in particular, it's not about two independent people happening to share a life. It's about allowing to let this other person help you when you've fallen down. Certainly I think it's still important not to be so self-absorbed that one forgets that mental illness can indeed take a toll on loved ones. Instead of being overwhelmed with guilt for this, it's important for us to do what we can to work towards getting healthier and continuing to find ways to support those who support us.