[Phanx]

Here's a tiny addon I wrote years ago for a guildmate who wanted to move the world state frame (that's what shows the battleground score). I'm pretty sure nothing has changed with that part of the UI since the dawn of WoW, so it should still work; either check "load out of date addons" or update the Interface number in the TOC yourself. Type "/wsflock" to toggle the mover.

Alternatively, you should be able to move it with MoveAnything or any other general purpose "move things" addon, though if that's the only part of the default UI you want to move, those addons are probably overkill. If you do go that route, the frame you want to move is WorldStateAlwaysUpFrame.

Edit: Removed attachment; see my post further down for an updated version.