I think, Islam has a dress code but it does not require a woman to cover her face.

The generic requirements for women are...

1-The dress should cover the entire body up to the wrist and ankle including neck but excluding the FACE.
2-Head must be covered completely, no part of the hair should be visible.
3-The dress must be loose and must not be figure hugging.
4-The material must not be so thin that one can see through it.

Anything else is exaggeration.