When you decide that the head covering fabric does not actually need to cover or conceal anything, generally what happens is the head covering either becomes a small bit of fabric which is entirely symbolic, or else it disappears entirely.
An article on the head covering that I read a number of years ago shows the logical places you can go once you decide that it is a purely symbolic thing.
Daniel Wallace wrote:Two questions remain. First, how can we justify a different symbol of authority on a woman’s head if the head covering is now a symbol of humiliation? Second, what symbol should we use?
First, the justification comes from several angles. (1) It is in keeping with the spirit of 1 Cor 11 and explicitly with two of Paul’s arguments (nature, convention). If forced to make a choice, it is wiser to take a view that is in keeping with the spirit of the text rather than the letter. (2) The broader spirit of Christianity is clearly against symbols for symbols’ sake. The NT writers do not seem to push ritual and symbol, but reality and substance. (3) The reason, I suspect, that head covering was implemented in the early church was simply that it was an already established societal convention that could be ‘baptized,’ so to speak. That the symbol of head covering fit into Paul’s argument about the headship of God, Christ, and husband, is what seems to have suggested this particular symbol. But even if the symbol loses some of its symbolism, the point needs to remain the same. (That is, whatever symbol a woman is to wear should indicate her submission to her husband and/or [if not married] the male leadership of the church.8) (4) An analogy with the Lord’s Table might help. It is appropriate because there is much that is symbolic in the Eucharist and this celebration is also one of those traditions that Paul handed down (1 Cor 11:17ff.). The symbols of the wine and unleavened bread are taken directly from the Passover. In the first century the Passover involved the use of four mandatory cups of wine, lamb, bitter herbs, unleavened bread. The part of the meal that Jesus turned into the first Lord’s Supper was apparently the third cup of the Passover and the unleavened bread. The lack of leaven was an important symbol, for it represented Christ’s sinlessness. And, of course, real wine was used. Is it necessary for us today to use unleavened bread and real wine? Some churches make this a mandatory practice, others an optional one. Still others would be horrified if real wine were used. Few today have unleavened bread (saltine crackers do have some yeast in them). Should we pronounce an anathema on these folks because they have broken from the tradition--a tradition which has both historical and biblical antecedents? If the implementation of such an important tradition as the Lord’s Supper can be varied, then should not the much less important tradition of the specific role (and garb) of women be allowed some flexibility, too?
Second, if the actual symbol used is not the issue, but what it represents is, what symbol should we use today? There can be no universal answer, simply because the ‘meaningful symbol’ approach is a recognition that conventions change. If we were to canonize one symbol--especially one not mentioned in the Bible--then we would be in danger of elevating oral tradition to the level of Scripture and of externalizing and trivializing the gospel. Having said that, each church needs to wrestle with an appropriate symbol for the present time. Quite frankly, if you (and your church) think that what I’ve suggested in this paper has validity, then the leadership of the church should probably do some creative brain-storming. I would like very much to hear from you!
Still, some controls do exist. As much of the spirit and symbolism of 1 Cor 11 as can be conveyed ought to be. Some have suggested that a wedding ring would be an acceptable symbol. There are some good points to this. It is a symbol that is accepted in large segments of society. A woman would not feel self-conscious wearing a ring. It certainly shows her bond to her husband and therefore picks up the force of 1 Cor 11:9 (co-dependency!) well. However, there are problems with this symbol. The ring is insufficient for the following reasons: (1) using this as the symbol presupposes that only married women are in view; (2) it is not a symbol distinctive of women; married men would also wear such a ring; and (3) unlike a head covering, it is not a very visible symbol.
What other symbols are available? At the present time--and I emphasize the tentative nature of this position--I think the wearing of a modest dress is an appropriate symbol. It does not pick up every correspondence in the passage, but it does do justice to many. In particular--and this is most important--a woman who wears a provocative dress (too feminine) or who pushes the boundaries of propriety in the other direction (such as jeans, business suit9) is often not showing proper submission in her very attitude.10 The symbol thus corresponds to its theological reality very neatly.11
So he makes the rather lame assumption, I think, that just wearing a modest dress is good enough as a symbol of what 1 Cor. 11 is teaching. All of this is to excuse the idea that the passage teaches, for Christians of all time, that a woman should wear an actual head covering or veil of some kind.
Remember the prisoners, as though you were in prison with them, and the mistreated, as though you yourselves were suffering bodily. -Heb. 13:3