As what Nooraini mentioned, the main concern is the issue of having to go through emergency c-section. Apart from that, one should probably consider the reason for opting for an induction. Usually, induction is suggested by the doctor if there are some concerns about the baby’s or mother’s safety. For example, the baby may be overdue, or there could be premature rupture of membranes, or baby is getting too big, or other conditions. Otherwise, having an induction (for a normal birth) could bypass natural processes that a woman’s body go through in getting ready for delivery. In other words, allowing labour to take place naturally would likely reduce the possibilities of complications such as low-birth weight, vacuum or forceps-assisted birth, or fetal heart rate changes. If you are considering induction, or if your doctor is recommending one, find out more from him/her. Keep in mind that the baby’s and your safety is of utmost importance when making a decision. :)
I think one of the most common fear pregnant women have about getting induced is that their body wouldn't be sufficiently prepare and they are not able to dilate quick enough. In the worse case, the gynae will have to call for an emergency C-section if the baby is in distress/labour too long. A friend of mine was induced at 39 weeks because her baby was getting too big. She was in the delivery suite for over 48 hours before the gynae made the decision for an emergency C-section because she was only 5cm dilated.