Humility is open to those who do not believe in God too, hence it does not mean accepting God, it can be a religious value, but it is not one at the core. Humility is being unpretentious and honest to yourself and those around you.
Did I say that I say that it wasn't? I was answering the question in the context of the topic which is "What is the nature of Christian Humility"
“I have learned now that while those who speak about one's miseries usually hurt, those who keep silence hurt more.” ― C.S. Lewis