Not a bad first attempt. I'd make the chromatic aberration on the sides a bit more subtle. However, as an avatar, it looks fine. The smaller size helps to make it look less exaggerated. Also, I would add some of the glitch effect to the upper left and and right of the background square. Just a subtle touch to help those areas look less static, and to make the whole image look like it's glitching out instead of just the focal point. That being said, it might have been neat if JUST the focal point was glitching out and the background behind her was untouched. The contrast might have given it a more 3D sort of look, but not sure on that one.
It's nice to see you adding some animated bits to your work without plopping down a gif. I honestly figured it was only a matter of time before you tried to apply a glitch effect like this to something.