I've had four children, and one of my labours was induced after my waters broke before labour started, so it was out of my hands.
First thing I would say is, don't panic! Honestly, I personally didn't find that induced labour was all that different from the pain of non induced labour. If it goes as it should, your labour will progress nicely and there are pain relief options just as there are for natural labour.
The main thing is that you will get through it, so try to relax and believe in yourself. Now, obviously you could still go into labour yourself anyway, so you still should stay as calm as possible.
Have they told you what they're going to do to induce it? When I was induced, my cervix wasn't soft so I was given a hormone pessary, which did the trick overnight, and it wasn't so bad at all. Then, the next day I was put onto a syntocinon drip (the syntocinon mimics the natural hormone that starts labour when it happens naturally).My contractions started just like normal early contractions, uncomfortable but manageable with breathing and relaxation.Not everyone needs this pessary if their cervix is soft already.
They got stronger and I used gas and air, and had support from my Mum and hubby, rubbing my lower back and hips...that was a fantastic help! Of course, within about 4 hours of that I'd had my little girl, because the pessary had softened the cervix and I'd dilated overnight to about 2-3 cms without really realising.
There's no doubt that labour can be painful, but honestly, you will cope with confidence and adequate pain relief.Listen to your options and, if you want to, make good use of gas and air...it will feel funny at first, but once you've had a couple of breaths it will really help you over the contraction...and you do get a rest in between, lol!
I understand you being upset about being induced, as I was, but it really shouldn't be as awful as some make out. It's still bearable with the right support, otherwise many women wouldn't have come out the other end happy and healthy, with happy, healthy babies. If it comes to a point where the labour is not easy on the baby and you need intervention, then deal with that when it comes to it; what matters is that your baby is safe. I was told that if my son was in for any longer than 42 weeks (he's not the one I was induced with, though I had booked one, but I went into labour) he was at risk of problems because the placenta ages. Only you can decide which is riskiest for you, but I wanted to reassure you that induced labour is simply not necessarily much different to normal labour in terms of pain.HTH