Let us pretend the 'one who hates his own image' is a 'selfie-loather'.
If so, a sentence incorporating the term could be
He always said he hated mirrors and I had assumed he was a
'selfie-loather' so I was shocked when I saw him apparently
admiring his face in the glass!
Best Answer
Source: The Guardian
Source: ADAA (Anxiety and Depression Association of America)