Are you covering your face for convenience or because your "religion" forbids you to uncover your face in public.  You're making a very specious argument that simply covering your face somehow equates to a requirement to cover your face.  

As to the woman in the article who states that this is her home and she is a full-fledged citizen and "doesn't have to adapt to my society and integrate" she is very obvious incorrect.  All citizens by virtue of acknowledging and accepting 'citizenship' also accept the need for all citizens to adapt and integrate.

It is the fundamental problem of anyone who puts their beliefs of any kind above that of the society in which they choose to live.  

Just because religious freedom is enshrined in the law does not put it above the law.  Nor does it put those freedoms above those of others.  

It's fine to allow people to believe what they want to believe, but there need to be limits on how all of us behave.