
It would last a matter of days at most - certainly less than a week before it was obvious it was seriously ill.
This condition presents in two different ways: the obvious one is where there is no anal opening at all, and is apparent at a basic examination; and a more subtle kind (known as 'occult') where the apparently normal anus leads to a blind cavity within the body, unconnected to the intestine. This is best diagnosed by a vet.