"The women understand that hiding one's face in public makes people feel uncomfortable."

This is an argument for not covering your face in public.  It impacts others.  It makes them feel uncomfortable and in some cases elicits fear.  A hijab would not reasonably lead to fear.  If men were covering their faces, I suspect a law would have been passed sooner.  

 "I'm not getting judged by my looks, by my makeup, or how beautiful I am."

But they are being judged precisely by how they look as represented by the niqab.

"It's going to justify some people to say: We didn't like the niqab before, and now the government is on our side," said Ms. Sajid, who arrived in Canada from Pakistan when she was six months old. "It's going to encourage more hate."

If Ms. Sayid truly believes that - and it is a justifiable belief; witness Trump's impact here as well as in the US  - then she must admit that her choice, religious, political or eccentric, is harming others.  It is harming Muslims.