Vaginal exam (VE) question

Don’t worry :) your obstetrician is experienced enough and knows what to do and what not to do in a simple routine VE. The only time their examination can potentially induce labour is when they do cervical stretching/membrane sweep, which is usually done with that very goal in mind (and they would most definitely inform you beforehand as well). Otherwise, they’re more than knowledgeable in their field to not cause any unnecessary harm to your baby.