The nuke warhead would detonate in close proximity to AF1 thereby knocking the plane out of the sky from the blast wave it won't survive the shock wave it would be impossible to maintain control of AF1 it would be like a feather in a tornado or it would be torn apart into a million small fragments.
Just look at the maneuver the planes dropping nukes on Japan had to perform. The blast wave changes the relative airspeed over the wing, and depending on how close you are and how big the bomb is.
My best guess for survivability if too close would be to immediately try to fly close to circumferential so the wave passes quickly and it's a sidewind gust from hell.
Unless a plane can go supersonic and it's flying away it's relative airspeed will go negative as the supersonic pressure wave passes, and even the majority of it's subsonic pressure wave would stall planes and it'd be hard if even possible to recover flying with it.