I had my nose pierced for 2 days and accidentally pulled it out. It was too swollen still to get the L bend jewelry around the corner, so I thought I would have to get it re-pierced. The piercer said to wait 2 days until the swelling went down a bit and she would try and get the jewelry in without re-piercing with a needle etc.
So it came out on the Sunday and I got it put back in on the Tuesday...it was a bit tricky and hurt more than the original piercing but she got it. (She used a longer, thicker L bend the 2nd time.)
It had sort of started to close up (you could barely see the hole on the outside) and as she re-did it I felt the 3 pops.
I'd say that too much longer than that and there would be no way she could get the blunt stud through, she would have to re-pierce it. I was told that if they couldn't get the stud back in it was best to leave it a few weeks to heal before sticking another needle through it.
So you probably shouldn't wait any longer than 2 or 3 days. Sorry about the long reply, but I hope it helps you or someone else.