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Yup, that looks like it would do the trick. Obviously check the dimensions to establish that the shower head will be high enough and far enough from the wall and that the hose will reach. Then just find some fittings that will secure it to whatever the wall is above your window, it's a long arm on a small plate so the leverage could be considerable if you accidentally pull on it. You may also want to check what you're drilling into above the window, because there may well be a metal lintel.
Brilliant! Thanks dude, this is making everything fall into place. I think the phrase I was missing is 'bottom entry', which is unusual for me. :D
So if I've not gone totally mad it seems something like THIS would actually do the whole job all in one, and I'd not need to worry whether or not the fitting on the arm is for a hose because its clearly designed for it.
Great shout on the diverter valve too. I had no idea they even existed.