I have a room that's relatively small and nearly square (3.35 x 3.68 m, or 12.3 sqm; that's around 11' x 12' and 120 square feet for those who don't do SI). Along the long side are 2 windows that take up a significant amount of the wall.

Conventional wisdom says that the speakers should face down the longest wall, i.e. down the 3.68 m. I'm wondering whether this really makes a difference for an almost square room. I wonder whether I want to avoid having the windows on one side of the speakers' stereo field (the windows are nearly centred, with 84 cm on the right and 90 cm on the left (about 3')). The windows have no curtain (blinds) and I assume it will reflect sound very differently from the other side of the room, where there's a wall. Would it make more sense to have the speakers facing towards the windows in this situation, despite that wall being shorter (putting the desk against the windows would suck, as the windows couldn't be opened)? Is it unlikely to matter either way?
I also have neighbours on the right (the bedroom on the left is part of our apartment). If I have the speakers facing down the length of the room, isn't this more likely to annoy the neighbours? At night I'm obviously going to use headphones, but during the day I wouldn't want to.
Personally I want to put the speakers on the wall next to the door, but seeing as this will involve moving lots of stuff, I'd like your opinions before wasting several hours lugging stuff around.
So where should I put the speakers and why?