The screw head visible is still in line with the handle, and I doubt Weller are using a thermoplastic for their handles, so the only way the shaft could be that badly out of line without severe visible damage to the handle would be if it or its mounting flange is badly bent at their junction. Diagnosis: Idiot damage, either by posties or couriers playing football with the package in transit, or by the lUser rapping the shaft hard on the bench in a misguided attempt to remove excess solder from the bit without wiping it.
The bit looks typical for one (on any iron) that has been abused by an idiot by running it too hot for too long without keeping it wiped and tinned. Once you get over around 400 deg C, a bit can go bad like that in under an hour. If you need to use a high bit temperature with a soldering station that doesn't have set-back when the iron is in the stand, if you haven't used it for several minutes, you *MUST* clean and re-tin it and turn the temperature way down (or even better, switch it off), only turning it back up (or on) when you need it again. If you don't have the self discipline to do that reliably, either pony up for a pro-grade station with in-stand setback, or if you are a real cheap-skate, get a loud 3 minute egg timer and start it whenever you park the iron!
However, as Wraper has just pointed out, the Weller WLC100 isn't temperature controlled - its knob is just a power control, so its no better than a cheap 40W 'firestick' iron + a light dimmer that you can get for half the price or even less, so I'm with Shock and Wraper - don't buy it. If you cant afford the suggested Hakko, there are various cheaper options for a proper temperature controlled iron, but you have to know what you are doing as several options require their base stations to be modded to actually meet the safety standards expected in first world countries!