When I was little, my mom took me to Claire's to get mine pierced. They told me my ear lobes were too small to get pierced, but they would try. As a result, one was basically at the very edge of my earlobe. The earring ripped out (painlessly) one night when I was taking my clothes off. The hole had just ripped through the end of my ear.
Once that healed over - took a few months, my mom took me to the doctor to have it done. Magically, they had no problem doing it and there was plenty of space on my lobes for a piercing.
Still have those holes today. :)
The old hole did not close back to a smooth surface. There is a divot where the whole was in both ears. But you'd never know it to look at it.
She will be fine. Infected piercings happen for a million reasons every day.
It really is no big deal.