Because I am 36?

I have a great doctor (general practitioner) that I have seen for many years and respect her. Yesterday I went in to see her after finding out a couple of days earlier that I was pregnant. She asked me if I had an obstetrician in mind but as this is my first, I am rather new to it all and asked for her recommendations. She also said I would probably have to have a c-section because of my age (36). When I indicated I was pretty keen on having a "natural" birth if at all possible, she said most good obstetricians would not "humour me" for the sake of the baby's health. However she then tried to ring obstetricians who would "humour" me (she must have said this at least 3 times!) and get me on their books. No-one was available, they were all fully booked out (mind you, I am only 5 weeks pregnant, how do people find out any earlier?!!). She then had to book me in with an obstetrician that she herself used. She did try to reassure me that because she had previously worked in a maternity hospital and worked with the seriously ill babies, she had a particular view of it all. I understand that with all these pregnancy hormones I am pretty sensitive at the moment however given the number of friends who are my age and have not had to have a caesar, I am a little confused. We didn't want to tell anyone yet but I did ring a friend, asked her who her obstetrician was and have booked in an appointment (yes he had space!). I am just wondering if anyone else has been given this advice by their doctor? She said it was based purely on my age. I'm confused. My doctor said she understood that she understood that I would want the "experience" but in my shock I didn't explain that it was more about I couldn't imagine caring for a new baby having just undergone major surgery. If I need to have a c-section then that would be fine but I can't imagine that this needs to be decided now at 5 weeks or could be based simply on my age.