I'm unclear what you mean by 'survive'. Since it's her first egg, there's only a very itty bitty, teeny tiny, minuscule chance of her eggs being fertile for the first week or two. With those odds, it's pretty safe to say that it's unlikely that there is life in the egg to 'survive'. You can bet it'll taste fine though. I collect my eggs before they go to sleep for the night, because they really seem to care less if they run on them, jump on them, play football with them, and subsequently crack them. I raise quail for eggs and meat. I only save eggs for 7 days immediately prior to incubating as their viability is greater. I have SO many eggs that I hard boil them, pickle them, feed them to my chickens, feed them to my dogs, gift them to my neighbors, and still have plenty of eggs. With only one hen, I don't suspect you'll have that problem, but if you get more hens you might