Delivery process delivery

I'm almost 37 weeks, but baby is measuring 2 weeks ahead and Dr says to expect 1/2 pound gain each week until delivery. I saw an alternate Dr today who consulted my regular Dr about baby size and my upcoming delivery. Regular Dr wants to schedule a c section, alternate Dr offered to be available if I want to try delivering naturally, using c section only if need be, but said the decision is mine to make. This is my first child & I'm panicking about how big she is already.... Thoughts/ suggestions/ recommendations? I'm tall with a slender frame and a low pain tolerance. I know nothing about c sections and am looking for insight from someone with experience.