The phrase "a distorted reflection of" is correct and usable in written English.
It can be used to describe something that misrepresents or inaccurately portrays another thing, often in a metaphorical sense.
Example: "The media often presents a distorted reflection of reality, shaping public perception in misleading ways."
Alternatives: "a skewed representation of" or "an inaccurate portrayal of".
The challenge may also be a distorted reflection of more profound shifts in culture and politics.
IT'S easy, looking across the ocean, to see London as a distorted reflection of New York.
When David Wotherspoon's cross from the right fell to Riordan, he side-footed the ball high past Janos Balogh to produce a scoreline that was a distorted reflection of the general play.
Michael Ruhlman, an expert in meat curing who is writing a book on Italian salumi, doesn't flinch from calling pepperoni pizza a "bastard" dish, a distorted reflection of wholesome tradition.
The glass curves as seductively as one of Hogarth's lines of beauty; depending on the angle, you can see a distorted reflection of the Manhattan skyline against the real Central Park and vice versa.
One of the film's most disturbing sequences comes when Martin and Emily attend a smart cocktail party: she, in an attempt to clamp down on the panicky anxiety rising to the surface, absents herself to the bar and sees a distorted reflection of herself in the mirrored wall surface that makes it look as if she has some kind of disfigurement.
That's what Nothing Important is: a slightly distorted reflection of one's expectations of music.
It was a mangled, distorted reflection of the will of the people perhaps, but that's what it says on the FPTP tin.
Even more so when those mirrors offer a distorted reflection.
The second section, Death in Varanasi, is a rippled and distorted reflection of the first.
Some pose questions like, "Can I watch TV in Islam?" Such basic misunderstandings, he said, cause non-Muslims and Muslims alike to turn to the internet, where they often end up finding a plethora of information that is short on substance, or an inaccurate or potentially dangerous distorted reflection of the religion.
