A deflection yoke is a part of a television or computer monitor that helps move the electron beam in a certain way. Imagine playing with a toy car that can move forward and backward, but also side to side. The deflection yoke works a bit like that - it moves the electron beam in different directions so that it can create the picture you see on your screen!
The yoke is made up of a coil of wire that surrounds the neck of the tube (the part where the electron beam comes out from) and it has some magnets attached to it. When electricity flows through the coil, it creates a magnetic field that interacts with the magnets to move the electron beam. The yoke has two sets of coils - one for horizontal (side to side) deflection and one for vertical (up and down) deflection.
So the deflection yoke helps the electron beam move around in the right way to create the picture on your screen. Without it, the picture might look squashed or stretched in strange ways, or it might not show up at all!