The object is an out of focus droplet of water, probably rain, brightly illuminated by the flash. If you take a photo in the dark of a subject that is far away, your camera flash will automatically carry on for as long as it can, to try to illuminate the scene properly.
The flash intensity does not stay constant, however. Instead, it falls away gradually, because it is draining a capacitor. The brilliant initial light, followed by the gradual fading, explains the way the tail diminishes in intensity as the drop falls.
In addition, the flash goes on for longer than average. This explains why the droplet, which would normally be 'frozen' by the flash as a bright circle, can move far enough to be blurred. The tails in such photos usually point downwards but sometimes are diagonal, depending on the wind.