wanted to just let baby come on her own but decided on induction

So I have had zero signs of labor and I'll be 39 weeks tomorrow, I haven't even had any discharge, I did one day and it was so small and only happened once. So my dr asked if I wanted to be induced. I didn't really want to but I don't want to go more than 2 days over my due date, because big babies run in his family especially if you go over your due date. So this baby girl has been scheduled to be evicted on her due date at 40 weeks. Praying she comes naturally before that, but with how nothing is happening labor wise whatsoever I doubt that will happen.