IMO, nothing in what you've said comes near 'an emergency' within the meaning of the Act, plus of course there's no independent evidence in support. In any event you could have pulled in to the side of the road. I would not risk the discount on this point but you can put it to the council and if you do I suggest you strip out the emotion and simply concentrate on the facts. In which respect what does 'The warden did not want to listen to anything when spoken to' mean?
Did the driver speak to the CEO? Where did this take place? Did the driver show the CEO their child and try to explain? What did the CEO say? How was the PCN served e.g. by hand to the driver or on the vehicle? If this took place at the vehicle, then the CEO must have noticed the child etc..