To trust in God really means to live in total acceptance of what is. This does not mean that you live passively in the world. You live in the world with love, honesty and integrity. You live an empowered life in partnership with God.
Invisibility is an outcome of your spiritual development. As you no longer require the attachments of the outside world and begin to focus more on your internal life, you will feel at times as if you have no physical presence. In fact, it is decreasing all of the time. It is true, the path requires letting go, detachment, release, surrender, in order to experience the growth of Presence.