Um. So whether or not you need to be induced will be determined by how busy the ward is? That's logical.
I assume they're monitoring baby and so are happy s/he is ok? If baby is in a funny position, that's going to throw the measurements out, too.
Does the hospital have some steps you can get up and down to try and shift baby into a better position? Induction + baby at a funny angle is unlikely to be fun.
All the best!