I hope this does not come across as totally un-sympathetic....
But... what were you doing for a pony as small as a Shetland to be able to kick you in the face?
The calf, maybe.. the knee... or the thigh.... but you must have been bent over behind it, sitting down, or something similar.
On to how that *Might* help you with this current problem with your parents.... you can make a case to them that it was purely human error. That if one deals with horses in a safety conscious manner, these things are rare occurences.
Propose going to recieve further safety instruction from a riding instructor, a trainer, or an experienced & knowledgeable family friend, ect... perhaps in exchange for help with horse related chores....
If you come back to your parents with your new "credentials" and promise them to be more aware and safety conscious in the future.... there may be the possibility they will allow you to continue riding and having fun with the ponies
