There is no definitely safe time. Some babies can be born at 30 weeks and have no permanent issues. Others can be born at 36 weeks and have problems. It all depends on how the baby is developing. By her due date, she is about 36 weeks so the baby will most likely be fine anytime - most babies are pretty close to fully developed at that point.
I don't think it's a good idea to induce without medical cause because inductions themselves can cause issues for both the baby and the mother. 36 weeks isn't super early but I personally would be worried about delivering at that time.
She is worried - very worried. She is just having a lot of problems. It is her first child too. She went into labor last week but they were able to stop it. I really hope that she is able to carry the baby another couple of weeks.