Experience labour symtoms at 37 weeks

I delivered my first born at 37 weeks. Had contractions , extreme pelvic pain and bloody show. I started to dilate at 36 weeks on doctor appointment but it took awhile to fully dilate. I wasn't fully dilated when I gave birth thou... it was only a few cm opened and I feel like pushing already cause I felt the baby head coming out, with the midwife help... she don't have choice other than to cut it cause the hole is too small for the baby head to pass through 😂