Hope things go okay, OP. If your waters have gone, you're in the best place to get seen to.
With DS1, my waters broke at 33 weeks. No pain, no contractions, no sickness - I thought at first I'd wet myself.
Once the doctor had confirmed that my waters had broken, I was given steroids to help speed up DS1's lung development, started on antibiotics, and kept in hospital for 2 days to be observed and to see if contractions would start by themselves.
The consultant told me that, provided there was no sign of infection and no sign of baby being distressed, that the risks associated with a baby being premature outweighed the risks of leaving baby in the womb after the waters have broken. So I got discharged after 2 days with strict instructions to take antibiotics and check my temperature 4 times a day, and to contact hospital immediately if I started feeling at all unwell or baby's movements changed.
I went into spontaneous labour a week after my waters broke, and DS1 was born at 34+1 weeks.