A Doomed Pilgrim in the Ruins of the Future

A lanky golem, black like the ruins it slept within. It's motionless as if it were waiting, or perhaps listening.

I too remain motionless. I have vast and deadly patience, and I can't afford to be noticed.
Does it give any indication that it knows I'm here? Does it leave or act before my vast patience wears thin? Anyone should answer the first question, and a different person should answer the second. (I'll take the first two compatible answers.)