I am sorry that you feel I was cold.
It is in fact very hard to give bad news - especially when you personally disagree with the law that you are having to confirm.
I agree wholeheartedly with you - this is not acceptable behaviour by the other family, they have acted in a deceitful way and encouraged your daughter to defy you .
The fact that it is with the law does not make it any less morally wrong
Indeed your reservations were well based - not a fact which can give you any comfort I know.
My major concern, form years of experience, is that you avoid allowing this reckless parent to ruin the close relationship that you have with your daughter. You are very clearly NOT an awful mother - you are one who is aware of world events and capable of assessing possible risk - and understands what is and is not correct behaviour when dealing with someone elses child.
However what he did NOT do was breach the law - there is nothing to stop someone booking a holiday for someone elses child without the agreement of that child's parent PROVIDED that the journey will not take place until after the child is 16 and can travel whether or not parents agree.
The actually nationality of the child/passport is irrelevant as the law is based on the country in which the child resides
The only reason I queried the refund is that without a positive rating I get no credit for my time and the site retains all your payment