Please don't worry. This has happened to me with both dcs so far. Both times my hospital induced after 36 hours with no contractions starting.
First time the pessary worked straight away, I laboured normally (I think, altho who knows seeing as it was my first), with just gas and air, dd1 born about 8 hours after receiving pessary.
Second time the pessary didn't work, had to be put on a drip, at which time they also gave me an epidural, which was just bliss - I slept as I dilated, then it wore off at the end for me to do 20 mins of pushing. Dd2 born about 5 hours after drip started.
Would love another birth like dd2 this time (due in 4 weeks), so induction can't be too bad. Maybe I was just lucky. Neither time did I need intervention, so that doesn't also follow either.
Both times I had to be kept in with baby for 36 hours afterwards, so they could keep checking temps for any sign of infection.
Honestly, just look forward to having your baby one way or another within the next couple of days.