Having read on, given the family history, I can see why your DP wants a cesarean. I would insist that it goes on the notes, as well as their refusal, and as a PP says, take a photo of the notes.
Can I ask why you and your partner are so against ARM? I found it to be an almost painless procedure. My first DC I ended up having ARM at 35+5 as induction by pessary had failed. I also had a syntocin drip.
I would rather have done that than not, especially as my hospital were also refusing a cesarean. Currently it is to do with pressure from above to avoid cesareans if at all possible, to lower the hospital's cesarean rates, which are published.
I'm sure if you are noisy enough about it, and insist on seeing the consultant, things will move a lot quicker.
I have to say, though, I can't understand your issues with ARM, as I found that started labour off for me, with the aid of a drip.
I never ended up with forceps etc either.
3/4 of my DC's I had ARM with, and they all had good Apgar scores, and no other interventions apart from3 stitches with my 3rd DC - but he had a head on the 99th Centile due to his SN's.
I hope you get what your partner feels she needs, but I want to reassure you that ARM is not usually a terrible thing, especially if it means your baby is born healthy and your partner is safe from developing full eclampsia sooner.