A few years ago, a friend of mine was very sick with brain cancer. For some reason, not long before she passed, she gave me a little black pouch holding a small veil and a bobby pin. Although I have only vague memories of wearing a veil to church (or a handkerchief if no veil was handy!), I still appreciated this gift. A time gone by. I don't think women were automatically/particularly closer to God for wearing veils, but it is a special custom to recall.