There is no reason why it should. But if it did, there would soon be no life left on Earth.
All life on Earth would end if the sun died.
secret
stars
MARS
neptune
we would die
If the sun suddenly died and no longer lit up the world the first planet to be affected would be Mercury. Mercury would be affected first because it is the closest planet to the sun.
Eclipse of the sun
The motion of the sun will stop because the sun will crush on the earth if the gravitational field of the sun collapses.
It would probably crash into the sun because when its not moving it might get sucked into the sun.
If the gravitational field of the sun collapses, the earth is likely to come to an end.
we would die, too
It is unlikely to happen, at least in my life time, which is a great comfort to me. But, as we and the other planets in our solar system orbit round the sun because of the sun's attraction, if the sun suddenly disappeared, there would be nothing to stop us being flung outwards into space.