I tried my damnedest to prevent the white pixelation, but it just kept showin' up anyway. :/ If you want me to change it to a solid color background instead of the transparency, let me know <3
Unfortunately, the pixelation is a fact of life with GIF files with transparency.
If you're in Photoshop, you can reduce it by either changing the dither mode
or using a padding colour of wherever you're going to post it when you export
with the Save For Web and Devices dialogue.
If you did it in something else...well, I can't help you there.