I went to 41+3 with DD, and I got SO sick of people calling to ask "have you had it yet?"
Easier said than done, but try and relax - a lot of women have a good birth experience after an induction. Plus you never HAVE to have an induction if you don't want one - you should be offered expectant management as an alternative, where you get monitored regularly to make sure everything is OK. This page has lots of info for women that go overdue - its part of the homebirth website, but its pretty applicable to any woman wanting to avoid induction.
Its hard to do, but try and trust your instincts. If you feel fine and you have no concerns about your baby then its much easier to be prosaic (some women just cook there babies for longer, after all) - but if you DO have any concerns then an induction might not be such a bad idea.
I found this poem helped me stay calm:
My baby's not a library book,
so she's not overdue.
My baby don't take long to cook,
coz she's not veggie stew.
My baby's not an elephant,
and I'm not fit to burst.
The time and date aren't relevant,
we're blessed with days, not cursed.
My baby can't read dates as yet,
because she's very new.
So there's no cause to fuss and fret,
if she don't come on cue.
So stop your worry,
stop your asking,
there's no hurry
we're relaxing
in this golden pregnant time,
this pause, which is just hers and mine.
You leave us be, we are just fine.
Fingers crossed for you, whatever happens