Oh I think the outlining is fine on this one

It's a style on itself
I love the way you draw, hard but sketchy lines
Now some comments:
The face is non symmetrical (no face is, but usually they look a bit more symmetric), if u draw a line through the middle of the face (from top to bottom), then you will find that the nose is somewhat more to the right.
Though this may look a bit worse in the final picture, you can try to draw that line before you start placing the eyes/nose/mouth/hair. This will make it easier make a front view with symmetry.
As for the big eyes, she looks a bit surprised now. If you want a more usual look then you can draw the top line of the eye a bit more flat, showing less of the eye.
Another reason why she looks so surprised is because her eyebrows are placed so high.
You definately have potential!
keep it up