"以头巾覆盖" can be translated into English as "to cover (one's head) with a headscarf" or more concisely "to wear a headscarf" (if the context implies covering the head with it).
If you want to emphasize the action of covering rather than just wearing, you could also say:
"To drape a headscarf over one's head"
"To cover one's head using a headscarf"
The most natural and commonly used expression in everyday contexts would likely be "to wear a headscarf".