To obtain your visa at the airport, simply purchase the necessary stamp at one of the many exchange windows before passing through customs. At the time of writing, the cost was $15. Do not lick the stamp and place it in you passport! (some customs officials are very picky about where it should be placed). Carry it, with your passport and arrival card, to the immigration line. Show the official that you have just purchased the stamp and he/she will indicate where it should be adhered. A few rubber stamps later, you are officialy in Egypt!
Citizens of some countries may be able to obtain a tourist visa upon arrival at Cairo Airport. It would be wise to phone the Egyptian consulate nearest your place of residence to confirm this. If for some reason you are denied an Egyptian visa, there is nothing AUC can do. The University does not intervene in Egyptian government matters.