It might depend on the fandom? The faq's say DNWs have to be reasonable and you can't use optional details to demand a specific story. So if Harry Potter were nominated without characters and you DNW Harry, ok, there's a ton of other characters and the world to write fic about. But a 5-min fandom like Botticelli's The Birth of Venus is nominated w/o characters and you DNW Venus, that'd be more unreasonable in my mind.
Re: nomination with no character
But I'm not a mod, so idk.