I see what you were going for, it's an interesting shot and quite successful. Your camera is not broken!
The snow seems a little blue (might be my screen) and it could be maybe slightly brighter but you certainly don't have to pretend it was sunny - we already see the heavy snowfall.
It's possible that by focusing closer you might have got bigger snowflakes in shot but they'd also be more spaced out - so.. tricky one! There's definitely potential.
Funny how some people have strong reactions to unusual shots - when looking through some of my photos the other day a friend said to me "that's wrong! it's wrong because there's a red thing, and it's out of focus!" and he took some convincing that it was deliberate.