Pictures here, here, and here.
The car’s an Opel (Vauxhall) Astra F, built in '97 or thereabouts. As you can see in the last pic, there’s some damage to the (left) fog lamp, so perhaps there’s some connection, though I don’t recall even a minor collision or something else that could’ve caused the damage.
The dangling part itself seems to have no obvious metal connectors, and the car’s operation appears normal. Any ideas?