Yeah, looks like it's shit itself, at least somewhat...
Replacement is a good idea, because that type of inductor suffers from thermal aging; it's made of resin-bonded metal powder, which works great (the particles don't touch so eddy currents are small) until the resin starts to break down (a temperature thing). As that happens, the particles begin to touch, and losses start going up... so temperature starts going up more... and so on.
But, a better question is, why did it shit itself? Too much current?
I'm guessing it's supplying the memory DIMMs there; have you checked the memory is still good? The transistors, are they blown? How about the controller driving them?
What caused it? Is the power supply OK (did it fart out transients or something that caused damage elsewhere too)?
I suppose replacing the inductor and checking nearby components is cheap enough to try, but do entertain the possibility of locating a replacement board altogether.
Tim