Induction never was actually scheduled

I was told 3 weeks ago I was set for an induction this morning and when I called the hospital as instructed it turns out I was never put on their schedule. After having everyone request off work (grandparents for my other kids and my partners) I basically got told "go f yourself nothing we can do about it hope baby comes soon" even though it was their mistake.

I have gestational diabetes and at 37 weeks her tummy measured 70th percentile already. I'm worried about her getting stuck and me having a C-section anyways which is the only thing I want to avoid. Birth plan: epidural, avoid C-section. That's it.

I feel SO defeated and powerless. I had a membrane sweep on Friday at exactly 39 weeks. Been losing mucus plug like crazy since then yet nothing else progresses labor. What else can I do? My past 3 came at 39 weeks exactly but this one is proving she's more stubborn than the rest.

I've done sex, hot showers, pineapple, spicy food, bouncing on a ball, getting up and off my feet and being active. I'm about to try the miles circuit and a hot shower.