KT - if ity's just your hind waters, they can reseal and the main sac is still intact, I think. That's what happened to me in my first labour and I ended up after 6 hours of an augmentation drip only 2 or 3cm dilated. At that point, they broke the membrane with a knitting needle - the membranes which had "gone" setting their clock in motion the day before.
If your waters have gone, they will keep dripping and thee will be an increasingly pinky tinge in the pad. And the pads will be soaking wet in an hour or so.
Don't let them put you on their timetable unless you are absolutely clear that your waters have gone. Or get them to be quite clear that they still want their timetable even if it's hind waters.
Oh, and get yourself on hands and knees and polar bearing if you suspect babe is posterior - hind water leakage often goes with posterior position.
As for the timetable - where I used to live it was 24 hours till intervention. Where I am now it is 72. They make it up as they go along.
You can always just rest and accept monitoring for infection, and if there's no sign of any, then keep rseting until your body does its thing. You don't have to meekly accept induction if you don't want to
[strong mama vibes to you]