38week4days & no sign of labour

I’m a KKH patient and was advised to select a date to induce after 39w as my baby was conceived by IVF. (I don’t have other medical risks and am in my early thirties.) I asked if other babies conceived naturally would also be induced, she said some doctors offer to induce at 39 weeks as newer research shows that it’s safe. My colleague who was also a KKH patient was induced at 40w (conceived naturally) but hers was because she’s 38yo. My general feel is that they would still let you go beyond 40w if you don’t have risk factors. However I wouldn’t be so afraid of inducing and the chance of C-sect. I think if the dr recommends, it’s likely that the risk of stillbirth is a bit higher if you continue to wait, and that would be worse (and prob also requires emergency C-sect, right?) If you’re only 38w4d it’s still early days!