My wife had a couple of complicating factors, so we had doctors involved from the get-go. Fun fact for the unaware: if you're predisposed for diabetes or just unlucky, you get gestational diabetes because pregnancy does WILD things to hormones.

But we've had instant skin to skin (after a quite o2 check, but within minutes) for both pregnancies, even the "urgent" c-section (not quite "emergency", but better safe than sorry, story for another time).