Some folks really don't see the use of physical symbols for spiritual things. In that case, find online those who have studied the issue of headcovering and focus on just the figurative meaning of the outward sign. This forum thread is not at odds with physical veils and coverings for Christian women, and so is polite and sincerely written and a help for Christian marriages. The focus rather is on what could be meant if the "covering" that is talked about in 1 Corinthians 11 is only a symbolic or metaphoric one.
"Head Coverings" - at ChristianMom.com forums