I personally love this picture, the colors, the lines, and, of course, because is my favourithe female Character perfectly drawn by a great drawer! saying "good job" is too little... and I really don't have the right words to say how I admire your drawing skills
I knew I had seen it before, but hadn't saved the image (or it was so small you could barely see it). Lina actually wears her hair in one big braid in one episode of Revolution. It looked really cute, since she wore a sun-hat with it too for a while xD
I am a HUGE Lina Inverse Fan, and I love the way you've drawn here here, the shading and lighting is excellent and everything is very nicely proportioned. The only thing I would suggest would be to lose the braid. It seems out of place and a bit distracting. It doesn't look natural and doesn't look like it's her real hair. Especially since the shading seems to differ from the rest of the hair.