Hi, i know this is not a big deal, or an emergency question, but while i was at school i was searching in my bag for a pemcil, and as i was rumaging i accidentally stabbed myself with a mechanical pencil lead, and it is deep, i tried trimming the nail as far as i could without it hurting too much, but it doesn't come out. Would i get infected by it, and can it grow out by itself with the nail and eventually fall out?