Final answer:
The appropriate initial nursing action is to advise the neighbor to seek immediate medical attention without removing the glass shard from the eye.
Step-by-step explanation:
After observing that a large glass shard is protruding from the neighbor's eye, the appropriate initial nursing action would be to advise the neighbor to not remove the shard and seek immediate medical attention. Removing the shard without proper medical assistance could cause further injury or damage to the eye. The nurse should also ensure that the neighbor is wearing protective eyewear, such as goggles or an eyepatch, to minimize further harm.