The physicians that could determine my fate -- How do I choose?

So, I then began the work of trying to decide on a hepatologist and a pulmonary Doctor. My first meeting was with the lung doctor, and I was in for a tremendous surprise!

I had done the research, and, given that I did not have any personal referrals to either specialist, I chose by reviewing each Doctor's online profile on the University website. One lung Doctor in particular stood out, as he had significant research work, and he also had achieved a prominent role within the University system -- Among other titles, he was serving as one of the Deans of admission for the U-M Medical School.

I scheduled the appointment, and my wife and I showed up at the lung clinic. After a long series of tests, I had my results in hand and was ready to see the Doctor. And at almost exactly the appointed time (not 20-30 minutes late, like most every other Doctor I had ever seen), the examination room door opened. I was terrified... How do you introduce yourself to one of the people who could determine your fate, and perhaps those of your wife, children, friends, family, business associates and others. I could only stand there and wait, and hope that I had chosen wisely...