Anyone tried to rotate and skew a blurred object?
(?)
The pixelation issue only appears through inkscape's rendering, it doesn't show up in exported images or the svg viewed in a browser.
As any decent web search engine will uncover, this is a known issue (https://bugs.launchpad.net/inkscape/+bug/806028) with the old renderer used in current stable versions. You can either increase the quality of the rendering (in the preferences), which will slow down rendering, or e.g. put the object inside a group, blur the group, and apply any transformations to the object itself, inside the group. Note that using the second workaround the filter effect will not be rotated (useful e.g. for shadow effects).