Should a woman cover her head in Christian worship? Traditionally in many Christian churches the women would cover their heads in worship citing 1 Corinthians 11:2-16.  Why has this practice stopped, and why has it stopped mostly in the last 70 years?  Might we be offending the angels because we are not practicing this?  

I am looking for biblical support for the answer not just cultural or opinion.
Here's what Matthew Henry says in his short commentary:


  We should, even in our dress and habit, avoid every thing that may dishonour Christ. The woman was made subject to man, because made for his help and comfort. And she should do nothing, in Christian assemblies, which looked like a claim of being equal. She ought to have "power," that is, a veil, on her head, because of the angels. Their presence should keep Christians from all that is wrong while in the worship of God. Nevertheless, the man and the woman were made for one another. They were to be mutual comforts and blessings, not one a slave, and the other a tyrant. God has so settled matters, both in the kingdom of providence and that of grace, that the authority and subjection of each party should be for mutual help and benefit. It was the common usage of the churches, for women to appear in public assemblies, and join in public worship, veiled; and it was right that they should do so. The Christian religion sanctions national customs wherever these are not against the great principles of truth and holiness; affected singularities receive no countenance from any thing in the Bible.


As Matthew Henry says, the Christian religion sanctions national customs wherever these are not against the great principles of truth and holiness.

70 years or so ago, the wearing of hats was common.  Upon entering a church, or any building for that matter, a man would remove his hat out of respect.

Customs have changed in the United States.  Men wear baseball caps, if they wear a hat, and for the most part, women do not wear hats.  Now, having said that, there are still some southern conservative churches where the women do wear hats to church.

In my church, a congregation of the United Methodist Church, our dress code is: wear clothes.  We're not concerned with what people wear to church, and we even have meetings to discuss whether the church leadership is dressing up too much, and discouraging people from attending.