You are doing the best you can with what (information) you and your doctor have, and that's all anyone can ask of you. You're doctor cannot know everything for certain and cannot be absolutely 100% positive about the size of your baby and when and where you will suddenly go into labor. But your doctor did go to med school, she has delivered hundreds (if not thousands) of babies and has had to deal with numerous emergency situations. If she thinks this is what is best for you and your baby, I think you have to trust her.
Try your best to relax and remember that your doctor and the nurses are there to make sure you and your baby are healthy and that you have the best experience you can.
I was to be induced with our oldest. I went into the hospital the night before, and they gave me cervadil. The next morning they started me on pitocin, and one of my OB's partners broke my water. About an hour later I was sitting in a pool of blood. It was a very scary situation (the nurse freaked out on us), but as soon as my OB walked into my room, she looked at me and told me what was happening and, even though I was still scarred, I knew that she was going to take care of me and my baby. (Who, by the way, is now 5 1/2 years old and a complete class clown. But that's a story for another day.)
My point is, yes, things can go wrong. And you're right. For every 5 horror stories you here, there are 95 that went down without a hitch.
Your doctor is doing the best she can with what she has. She is looking at all the options, all the potential complications and recommending to you the plan that she truly believes is the best.
Good luck to you!!! Congratulations on your new addition.