Hollo - Sorry to hear this. I was induced at 41 and 4 days, and I really did feel like I couldn't handle anymore, so I hear ya.
What other complications are you worried about? Anything in your family history? If you really dont want to be induced on Tuesday, why not have another chat with the OB about it, and discuss other options. Monitoring and a scan to check fluid levels should all help you get a few more days and avoid the induction - unless of course there are other medical problems.
As you say - many mums get induced, and all mums cope with it in one way or another.
I'm sure your OB wouldn't mind having another chat with you if you are feeling at all unhappy with this decision.

I hope your body kicks into gear and something happens for you anyway. Check out all the natural induction methods - noe of them worked for me, but you might have more luck!