That is certainly not the intent of the rule. The place of the woman is an attitude of quiet submission. This does not mean passivity. She has come to worship and certainly is encouraged to participate in the congregation by singing with the grace of God from the heart, being in an attitude of prayer, and hearing the Word with a submissive spirit as it is preached. This should be the attitude of both men and women in worship.
Appropriate dress is an outward reflection of our attitude in worship.
In Eastern culture, this was to be a literal covering such as a veil, because that was the norm for that particular culture. Any woman who refused to wear a covering showed herself to be defiant and a shame to her husband. In countries where this is not the custom, there is still a covering for the woman's head as a sign of submission. She is to wear her hair in a manner that reflects quietness of spirit and not freedom, boldness or superiority.