Hi Lou
It is true that VBAC carries a risk - the main one that concerns caregivers is the risk of uterine rupture. However, this risk is very small - about 0.07% if you go into labour under your own steam.
Repeat caesarean section also entails a number of risks - prematurity, breathing issues, higher risk of infection than a vaginal birth to name a few - as well as a significant recovery period which you're already aware of.
The overwhelming majority of evidence lies in favour of the safety of VBAC over repeat caesarean, all things being equal. The fact you have a previous vaginal birth under your belt is also very much in your favour.
The reasons why obstetricians sometimes encourage repeat c/sections despite evidence that is not the safest option for a healthy mother and baby are a bit complicated. Basically it comes down to their feeling more in control and comfortable with the risks entailed with caesareans (as an op that they perform routinely) over the more unpredictable (but very small) risk of something happening to your scar during labour. This tends to see them encourage women to elect a caesarean rather than a have a vaginal birth.
It's very likely that your last c/s was fundamentally due to your being induced - baby wasn't engaged, your body wasn't ready...a term pregnancy lasts up to 42 weeks, and if you were induced before your body and baby are ready, you are more likely to end up with a caesarean. Since induction isn't usually on the table for a vbac, if you're able to go into labour when your baby and body are actually ready you probably won't have the same issues again. And as I said, you've already had one vaginal birth so that's proof your body knows what it's doing
Good luck