Alternatively from Pikachu's suggestion, you have as much to gain (on the short term) by choosing a specific artist's or series' anime style and using it as reference. Now, for the crit... character design is a difficult task, so I support your attempt, especially for someone who claims not to be any sort of an artist.
My harshest comment is this; she (I assume via the filename not by looks, but that comes later) isn't very distinct. There's little about her that makes her stand out from any other given character that could be in the background of any given scene. My suggestion from this is to decide her distinguishing visual characteristics and make a short list of them on the side of your page. These can be used to guide your mind as your hand does the dirty work of drawing. I'm not sure why but it's almost always worked for me.
General observations: She seems gaunt. The face as a whole is probably a bit thin, and her ears should probably be slightly further back. The comment relating to the further ear depends on the angle that they hang and how long they are. The comment about the closer ear can be fixed by raising the ridge line higher and cleaning your lines up on the whole.
The cheek marks need to be reconsidered. Much like the comic book-style nose hashing that was popular for a while, the cheek marks are intended to provide a bit of contour to the otherwise flat shape of the face, so you have to be careful about where you position them or the skin will appear to bend in an unusual way.
The curve of the cheek and jaw is slightly off. the further edge of the cheek seems far too flat and the chin too pointy. This is probably adding to the gaunt look.
Be careful of the thickness of the brows. This combined with the complexity of the eye is a good determining factor in anime of the gender of the character. A thinner brow and complex eye is more feminine. The further eye appears slightly too short, I think if you extended it further inward just a hair and have the same downward curve that is on the other, it would look much better.
I'd simplify the mouth some and raise it. The chin dimple seems unnecessary, if the character is female though as I suspect, you could raise it closer to the mouth and have it be the bottom edge of the lower lip.
The last comment I can make at the moment is about the neck, it probably could stand to be a bit thicker, so I'd move the right edge closer to the chin. Anyway, I hope all that's helpful.