Rev. Cheryl Toth from the Anglican Diocese of Qu’Appelle wore a hijab for a day to “see what it’s like” and because she is unhappy that hostility towards women who wear a hijab, niqab or burka is increasing. And, of course, “to contribute to the conversation” – it wouldn’t be Anglican without that.
She didn’t go for the full cover-up of a burka, presumably because in a burka, no one would have any idea that she was a lady Anglican priest declaring “look at me, aren’t I progressive”, rather than an actual Muslim. That wouldn’t have been much of a publicity stunt.
Here she is:

And here are thousands of women protesting against being forced to wear a hijab in Iran in March 1979. I know which spectacle find more convincing:

From here:
Anglican priest Cheryl Toth decided to wear a hijab for a day to see what the experience is like. (Submitted by Cheryl Toth)
Concerned with what she calls the “increasing rhetoric about the wearing of the niqab by Muslim women,” an Anglican priest in Regina decided to take matters into her own hands. She wore a hijab for a day to see what’s [sic] like.
In a post on Facebook, Cheryl Toth said she’s “uncomfortable with the way the debate focuses on what women wear (or decide not to wear). I am afraid that [the rhetoric] will increase hostility towards women who choose to wear a hijab, a niqab or a burka.”
She said she sees her trial run with the hijab as a way “to contribute to the conversation.”
Bishop Eva Brunne wants to remove Christian symbols from the Seamen’s Church in Stockholm, and instead create a prayer room for Muslims, 
“Just prior to my becoming bishop, three parishes voted to walk away from the diocese of Niagara,” Bird said in an interview with the Anglican Journal. “There was a subsequent fourth one some months after…that.” What he needed to do, he said, was to draw “a good group of people around the episcopal office.”