not until Emikova draws a blue draenei pony.
i might actually commission her to do that one day...
it may look good to you this way since you know the whole image, but to everyone else it just looks weird
you could also just do a little 30° tilt and crop out the new square at that position. i did that with another picture for an avatar a while back and it looked pretty good. still in the lying-on-se-bedz-or-whatever-position, but not quite as weird without the whole image.
and since i'm already going at "giving Remi avatar tips she probably won't use anyway", i also like to individually highlight (contrast, lighting, saturation, sharpness, etc) the eyes on cute faces, since they tend to lose a bit on such low resolutions and sizes, imo^^
oh also, increasing the sharpness alltogether is usually a good idea too, although obviously not too much. at about 0.3 or 0.4 pixels and 40-70% or so it makes the pic look more defined, while still retaining most of it's softness :)
i'd show you what i mean, but for that i'd need the original picture, otherwise the border's gonna look really awkward.
This is the image by the way.
You do it.
(I took like a minute to do it :P)