Large babies were born from small mothers for thousands of years before C-sections; if there is a serious risk, that's something else entirely, but a lot of doctors advocate C-sections just because they're faster (which clears up space in their obstetrics ward for more patients, which means more $$$, and sometimes it's Friday night and the doc just wants to go home and have a beer in front of the tube, dadgummit).
And given that doctors basically use the rhythm method to calculate a due date (on the faulty assumption that all women ovulate precisely fourteen days after the onset of menstruation), it's not uncommon for babies to be a week or two "late" and still be precisely on time... not to mention that inducing is the addition of a lot of powerful drugs to an infant system, which might turn out just fine, or it might not.
I agree with @[member="Jak Sandrow"]: calm down and be patient. The system is designed to do precisely what it's doing. Even if it takes a little longer, it is healthier to avoid powerful chemicals and unnecessary surgery, especially when those things will (almost) always be available as a backup plan if the time comes.
