I don't want to sound unsympathetic but having to get to the office for a meeting is not an emergency in the eyes of the law: Fire, death, injury, going into childbirth, stopping a crime - those are emergencies. I'm not surprised they won't waver the fine. If you can get your office to admit that they required you to get to work in an unrealistic amount of time (ie. somebody sent you a text or email saying 'get here in 5 minutes or you're sacked'), they should offer to pay your fine for you.
I don't want to sound unsympathetic but having to get to the office for a meeting is not an emergency in the eyes of the law: Fire, death, injury, going into childbirth, stopping a crime - those are emergencies. I'm not surprised they won't waver the fine. If you can get your office to admit that they required you to get to work in an unrealistic amount of time (ie. somebody sent you a text or email saying 'get here in 5 minutes or you're sacked'), they should offer to pay your fine for you.