You have to make a fuss OP, you are your baby's advocate and they are the most important thing in your world.
Be polite but do not be fobbed off if you're not happy with their answers, make yourself a list of questions. Be the squeaky wheel.
It doesn't matter what they may think of you, you're not making a fuss or being a pest, you and your baby's health is the most important thing. I know it's hard and can feel like you're possibly making a fuss about nothing, but far far better that than a poorly baby.
I was induced with DC2 at 37wks dye to reduced fetal movement, five episodes in total, he was fine in the end, but consultant told me they only know so much whilst baby in womb and some things can't be picked up til baby out. At 37wks you're at term with a viable baby,
If you have to have induction, I promise you it's not that bad, but do be prepared for contractions to potentially ramp up pretty quickly. I have been induced with both my DC, I had been adamant no epidural , was v v glad to have in first labour, and didn't need one in second labour. I think what I'm trying to say in my sleep deprived- wrangling-with a snotty grumpy baby state,is that induction not sobs thing to be scared of, but do have to just go with it.
Thinking of you and hope everything ok