Not to sure. I dont know enough about how Egypt operates to know exactly. If I were to do it myself and I had the ability if steal her away if I could. Litterally just set up a meet and then gone. I however dont have that ability so I'm forced to just wait and hope.
If I knew Egyptian society, laws, what can be gotten away with, transit and the like I could come up with something. Some random ideas could include go on perminant vacation, sneak out and fly somewhere by having it ready to go or distract the one preventing her escape. Again those are flimsy because i dont know nearly enough.
If I knew her and her family enough to not be a stranger and I lived in egypt or was there yeah I think I could. The best way would be to make up some excuse to buy time, use it after getting tickets out of the country and request amnisty somewhere safe. Escape works best when its sudden and planned ahead of time. What the excuse to buy time would be I have no idea since I dont know her. It would need to be believable, natural and not on any way suspicious.