Just a few words on veiling, though please note that I am not saying that any individual or jurisdiction must or should change their custom in any way at all:
*headcoverings for women are spoken of in the
Scriptures
*multiple Church Fathers wrote encouraging the practice of
veiling
*in virtually every icon of a female saint the subject is veiled &/or crowned in some way. These are saints from Africa, Europe, the middle east, and everywhere else spanning more than 1,000 years (st. Mary of egypt's veil likely fell to pieces along with her other clothes
*veiling was a universal practice in all of Christendom (orthodox, Protestant and catholic) until the mid 1960s
Make of it what you will.
M.