Here's an excellent essay on head coverings from one of WORLD Magazine's most thoughtful writers: Andree Seu.

I read in 1 Corinthians 11 that the woman's head is to be covered in worship. The modern Christian consensus tells me that is a relative and obsolete command, dealing with some first-century problem in the city of Corinth. My high-school literary skills tell me otherwise: The command is rooted in creation (verses 7-9) and in nature (verse 14). And if that weren't ironclad enough, I am to cover my head "because of the angels."

The angel detail is so cryptic, so off the wall, so without explanation, that it becomes the strongest argument of all. Where is the "cultural relativity" case now, where angels transcend all historical agitations?