You don't have to be christian to be arrogant.
Plenty of arrogant people in the world - men, woman, christian, jew, muslim, hindu, young, old, black, white, religious, non religious, atheists etc etc.
So as far as i am concerned anyone pointing the finger at another group and accusing them of being arrogant is being - well - arrogant!
You say "Why has God not chosen me?" With all due respect you do not sound like someone who would want to be chosen - perhaps that's the answer to your question.
The Scotsman