Hungary is part of the British Airways flight's regular route from Dubai to London but a security alert was issued after the Boeing 777 lost contact with the ground.
Mrs. Fawaz said: "I thought it was ready to shoot us down. Usually you hear that when two fighter jets are scrambled, one is flying to the front of the plane to check that it's okay and the second one is flying behind ready to shoot it down
The terrified frequent flier told cabin crew, but they said "not to worry" as it "happens sometimes when we lose contact."
Mrs. Fawaz later uploaded footage of the jet which she took on her phone onto YouTube.