One shouldn’t touch a wild animal, especially a juvenile wild animal. I think the woman in the video handled it very well. I’ve witnessed others doing pretty dumb things in similar situations. This girl hardly touched the pup. She was mostly being passive and letting the pup explore the world and her – but seriously, you shouldn’t normally touch seals.
YouTube has removed other copies of this video due to a copyright claim by Amazing Nature Videos. I make it available here as it keeps popping up, on many video sharing sites 🙂