dnd 5e – Can a living shadow be dissapated with light?

Nothing happens.

The living shadow is not a creature. It doesn’t have hit points or an armor class, and most importantly, it always persists and there are no end conditions listed in its description:

The shadow you cast is animate and ever-present, even when lighting conditions would otherwise prevent it.

There isn’t much else to say here, there is just nothing in the gift description that gives any indication that firing a crossbow bolt at it, enchanted or otherwise, will do anything.