Funny you mention this. My expecting wife and I just completed a class on birthing and we learned that it can be quite a bit of time between water breaking and actual delivery. If the doctor is fine with it, then there is no big deal at all.
Her water didn’t break, it was leaking. If your water breaks, don’t fool around, get to the hospital. My water broke at home with my first child, and my daughter was born about 45 minutes later - 10 minutes after we got there.
Thank God too, because I was hammered and many hours away from being able to drive. And then when we did get in the car I had to stop for gas! My wife was thrilled.