Oh god... you're not under the impression that bittorrent is a secure or anonymous protocol, are you?
If you're monitoring and logging the traffic then it's trivial to not only determine the filename of a bittorrent download, but also everything you need to connect to the torrent yourself and download it to verify that it's what the filename says, if that's what you wish to do.
And, personally, I'd expect someone to at least check the filename before accusing me of committing a crime. :(