A person who wears a hijab is sometimes called a hijabi, a person who wears a niqab is sometimes called a niqabi. Is there an equivalent term for someone who wears a burqa? According to Wiktionary hijab, hijabi, and niqab are directly from Arabic, and burqa is indirectly derived from Arabic, which is why I suspect there is an equivalent term.
The word would be used like this:
All the newspapers had photos of the (word for burqa wearer), but none had photos of the person criticising her.