Worrying out loud is fine! It is better for people to work out these issues before they happen, I think.

Google Analytics doesn't help anybody actually find your content, it just lets you know where people are coming to your content from. I don't think it will do anything to let deep pocket entities target makers of fan fiction and fan art, as nobody else but you and Google can view your stats without your say so. And if you don't like the idea of Google knowing the stats to your website, you don't have to set it up.