At risk of further inflaming this already overblown topic, everyone is misquoting the OP. She never said she threw the girl into the wall and hurt her, she said,"So what do I do? FLing her at the wall." IMO flinging at a wall implies no actual contact between lighter girl and wall, thus I assume the OP simply pushed the girl, and even if the intent was to have her hit the wall, she did not.
I would like to add that I must have been really sheltered and so were my kids, because in all my and their years of education we have yet to have anyone attempt to set us on fire. I don't think either I or they would have taken it well, and we are pacifists.