My waters went I think also at 38+1! My contractions started right away though. Did your mw mention expectant management? You don't have to have sn induction tomorrow if you don't want one, there are other options with regular monitoring so it's worth discussing as induction comes with its own set of issues.
Nipple stimulation is supposed to be very good for bringing on contractions so that's worth a go. I'd also recommend trying to have a nap if you can. I went through 35 hours of contractions and had nothing left at the end. I really wish I'd gone back to bed when my waters went but like you i was excited!