The headlight's internal adjustment mechanism has been damaged. There are plastic clasps which help position the projector. Notice the angle of the internal light. That assembly is toast, IMO.
wj

 

A few years ago (about 10), when X-Types were my passion, there was a forum member making/selling critical replacement parts. (adjusters)
I was able to rescue several X-Type headlights. Other members have rewired XK headlights, disassembling them in the process.
If there is a source for small plastic XK headlight parts, it might help relieve the used replacement XK headlight shortage.
On the brighter side, new replacement headlights are still offered by Jaguar for a mere $2500 (w/o adaptive) or $3200 (adaptive) as of December 2024.

 

@Guy - sorry, I quote replied wrong
I have no interest in doing anything other than getting the $ from my insurance company and buying used to replace. Just wanted to share what happened and how they handled it.