You sound a lot like me a year ago (wanted a water birth, induced at 40+12 for being overdue, ended up with EMCS for failing to progress beyond 2cm dilated).
If you are generally anxious, as opposed to specifically anxious about induction, I would strongly recommend you take someone who can advocate for you, and ask to have a conversation first. They may try to dismiss your feelings as first-time mum nerves; you'll need to be clear that it goes beyond that. You may wish to decline induction and ask for a section instead. Hospitals are under pressure to get section rates down, so expect some resistance.
By turning up at the hospital, my experience was that the staff assumed I consented to induction, and that I would agree to whatever they proposed. A lot of language used was of the "we'll do this to you" variety. Hence it is helpful to have someone who is willing and able to advocate for you and get medics to explain pros and cons. But you may need to push for this.
As someone above has said, you can decline induction and ask for expectant monitoring. You can also ask for a section. The hospital staff may not agree to either - but it is your body and you do have the right to withhold consent. There will come a point where baby does need to come out (!), and you and the medics will need to find a mutually acceptable solution.
As someone else has said, induction is a one-way pathway. In my hospital, they give you a pessary, monitor you, then send you home if nothing is happening, with instructions to return once in labour or 24 hours later if not. If you go into labour at this point, you're still classed as low-risk and can use a pool.
If not, when you're admitted, it all becomes much more medicalised - hospital gown, cannula in hand, continuous foetal monitoring, nil by mouth once drip starts, etc. I say this not to scare you, but because I wish I'd known.
If I had my time again, I'd refuse to consent to the drip unless they were willing to at least attempt monitoring me in a position I found comfortable. They can monitor you upright/on a birth ball, but it can depend on the midwife. So you might want to think about parameters like that, if you decide to consent to induction and you want to see how you get on without an epidural.
I felt very strongly that I wanted my baby to come naturally but in my case I think there was a reason he didn't - hopefully my debrief will give me some answers but I think he was in a less than optimal position and maybe got stuck.
Good luck, let us know how you get on.