Well first off ... welcome to the forum ... Now with that out of the way ... let's come to your argument about "choice" ..
The choice you speak of, is not freedom like it is portrayed, it is just an illusion of freedom. As a general rule, most of the "empowered women of choice" live in areas (Western Europe, US, Australia) where cost of living is quite high, so you NEED an income to literally survive, if your not part of the 1% club. Hence work is indirectly imposed on you under the guise of "empowerment".
Coming to your main argument (in red) ... let's see ... A woman covered from head to toe doesn't have to worry about being judged by an individual simply based on her outer beauty. Now while that maybe a generic statement that you might've heard a zillion times already, let me get in to specifics so that you and the likes get to see the magnitude of this little one liner. A hijabi doesn't have to worry about showing her face, if she has a couple zits on it or not (something most teens struggle with during puberty, and has a documented history being studied
in terms of a correlation with depression). A hijabi doesn't have to worry about "bad hair days". A hijabi doesn't have to worry about those 2 extra lbs on which if she were an "empowered woman" she would've heard comments on. I remember the biggest female star of our generation i.e.
Selena Gomez being fat shamed on social media a year or a couple back when all she gained was a little mass. A hijabi escapes the judgement of the public in terms of fat shaming, which btw is among the
causes for eating disorders like Anorexia and Bulimia which
can be potentially fatal. A hijabi doesn't have to worry about wearing padding as opposed to the empowered women of the west, the teen versions of which are actually known to stuff their bras with tissues, padding etc. in an attempt to be "accepted". I can go on and on
but I think this should be enough of a justification as to how the symbol of empowerment, the 'empowered' western woman isn't exactly what she is portrayed to be and the so called "oppressed" hijabi of the east is protected from the judgement the western female has to face since she's 13/14 years old which leads to many psychological issues and health risks.