Looks like it was part of the extensive and extraordinarily fiddly kludge of circuits that enabled the old-school CRT to accurately shoot colors across the whole screen. Even on the most modern versions, there were literally dozens of adjustments to manipulate the three electron beams to hit only their proper (red or green or blue) phosphors on the face of the CRT. That board had several "trimmer resistors" (marked "VR.." for Variable Resistor). and that inductor was adjustable by using a plastic hexagonal "tuning wand" to move the ferrite slug back and forth (to increase or decrease the coupling between the two windings).