Interpretation of scripture should agree with other scriptures. I wouldn't dare say that in this lone passage it means a cloth symbol. Next is the angels. There are passages where it could only mean a human messenger , like with John the Baptist, or Jesus' disciples. Other times it clearly means a heavenly or spiritual messenger.
Messengers receive messages from and deliver messages to someone.
A woman is to have authority over her head because of the messengers. This separates the weaker vessel from the messengers. The man speaks for the family. If Sarah had not been communicating with the messengers, they wouldn't have been able to send word back of her beauty. Men often take far too lightly the job of protector.