The animation part looks good, if there's anything wrong with it, I wouldn't know, I don't really know much in that department. (Not that I know a lot about pixel art, or art in general, but yeah..)
Her arms seem much too tiny compared to her body, though. maybe a few pixels longer, and quite a bit thicker.
The walk seems rather boring, but maybe that's what you want.
What are you using this for? I have to say the colors look rather bland and washed out. If it's for a game, it'd probably be in your best interest to reconsider your palette choices, as I'm pretty sure in her current state, she'd easily blend into a lot of things, and your eyes would have a hard time focusing on the sprite. Vivid, saturated colors, usually help on do this. (Although that's not the only way you can go about achieving contrast.)