Mosschops - the chances are you will go into labour naturally so try not to worry now. I was induced first time at 10 days and I just accepted it (being first time Mum, just went along with whatever they said!).
This time (3rd) I was due to be induced at 11 days over and all the midwives I saw just talked about it like that was what happened, ask no questions, but one day when I went in for monitoring, I told the midwife I really didn't want to be induced and she was great - told me there was no obligation, noone could make me and that I could just ring up on the day and say I wasn't coming! She said I'd then be checked daily to make sure of properly functioning placenta etc. So don't worry, they won't abandon you!
Pregnancies can last up to 43 weeks naturally , though not many do, and you could easily go to 42 weeks quite safely with proper monitoring by your midwives.
Sorry, I've rambled but I know how you are feeling and just want to make sure you know you don't have to accept the induction at all.