Coming from a midwifes perspective, if they don't have the birthsuite room or the staff available due to busyness, they can't safely induce you and need to wait until there are experienced staff and/or a proper birthing room with emergency equipment available. It would be irresponsible to induce you and have no one or no where to look after you.

Obviously you will get precendence over social inductions ( I have cancelled many social inductions in my day and been screamed at/abused/heard hysterical crying etc) but people who present in established labour will need the birthrooms first, as long as everything is ok with your baby- and i presume the ctg monitoring was good otherwise you would know about it. I know its frustrating but as long as the monitoring is good with your baby ( and if you have had repeated u/s they would have looked at placental blood flow etc) just try and relax ask for as much monitoring as you want- I just know that kicking up a fuss isn't going to free up a birthroom and will make you more upset.

I really hope they get the show on the road soon, try and go for some slow walks as people have suggested and remember your body has done it before and theres no reason it can't again, it just might need a kickstart. Once you have the gel you will be on the moniter a lot so take the chance now to move around while you can! xx