Is god a coward? Why does god fear to show himself? You assume he fears to, what if he is merely uninterested in you. Also are you referring to a universal coming out of the cupboard by showing or do you mean individually.
A lot of people claim to detect recurring patterns in history, now imagine how it looks to an all-knowing or even simply multidimensional being. Very boring huh.
You presume that humans can and will understand God, does your pet fully understand and anticipate you? Sure there is a level of implicit telepathy with a familiar cat but that cat doesn't understand half of what goes through your mind and probably doesn't care.
Now, if you can ignore ego and pride for a moment, imagine you are the cat and God is the human.