S.A.
First of all, I am so sorry for your loss...
I would say just trust your doctor on this one. If she thinks a C-section is better, than that is probably what is safest for the baby and you. It is totally normal for you to be a bit freaked out right now, but think of it this way - how many "routine surgeries" are done in the U.S each day? And how often do people die as a result from those? The stats are definitely on your side ;)
It's kind of like when a plane crashes and someone says "I will never get on a plane again in my life" - well, that is kind of an irrational fear, because thousands of planes fly around the world every day - and how often do you really hear about a plane crash?
Trust your doctor (and your own gut feeling too) and just do what is safest in the end for you and baby, (becuase VBAC can also have complications- just something else for you to research).
Good Luck and congrats :)