Saying it's not so bad because the person couldn't actually leave with the baby is like saying it's not so bad if your house is ransacked as long as they didn't take anything. The violation is still valid. It's not so much about thinking this stranger is trying to steal your baby as much as you feeling violated that someone would touch your baby without asking you first. As a new mother you're running on instinct and your number one priority is keeping your baby safe - seeing some random cuddling your baby will kick your defenses into high gear. And as for the germ thing - yes, there are people who do that. The hospital I had my one daughter at wouldn't even let the babies out of the nursery during visiting hours to minimize the exposure to germs. Family members and friends could see them through the glass, but that was it. Dads were allowed special visting time after everyone else had left to cuddle with baby.