AMA and past my due date

I am 35. I am 40 weeks and 2 day pregnant. I am healthy with no medical problems. The midwives and MD are telling me repeatedly that I can have a stillbirth if I don't get the baby out soon with an induction. I am not dilated at all when they checked. I feel good waiting to at least 41 weeks. But getting scared about all this stillbirth talk. What would you do?