God looks at our heart, not our head coverings. Before God gave us the new covenant that put his commands in our hearts rather than in the fleshly commandments, it was necessary to cover the head. we are under the new covenant, where we obey with out will and hearts, not earthly commands.
However, I was given a prayer shawl of wool from Israel's sheep and specially blessed. I used it to cover me keeping out the world so I was alone with my God while I meditated on scripture. It was powerful how it worked.
I let no one use my shawl, except one woman who was in the midst of a bipolar episode so extreme she felt suicide was her only way to cope. I explained the shawl was not magic, it was to close out the world and be with God. She said 'That's powerful" when she put it on and her bad episode with bipolar was over.
I feel that using a head covering as a help to be humble before our Lord is not necessary at all, but oh, it is such a help.