@ ayesha - I have gone through your original post again and let me say that the Qatari government has got nothing to do with the restrictions at NAIA. Your cousin possesses the required travel documents and more and therefore should have been allowed to leave the country.
These corrupt practices at NAIA have already been brought to open and is now under investigation. Lets just hope that something good comes out of this investigation.
Also try to apply for Filex membership so we can discuss these issues amongst ourselves.