I did the same thing! Went into labour the next morning at 3am and had her by 9pm that night.... had ARM and synto when I got to the hospital, and TBH it wasn't that bad. In my case my DD had some meconium aspiration and needed to go to nursery for oxygen and monitoring but there was really no way to know whether that was anything to do with the induction, or whether it would have happened anyway if I had gone for the induction the day before. If your monitoring was ok she should be fine for a few more days.
Good luck!