It's well done with effort, but there are a few massive cons.
First I'll say that you've done quite well (much better than I can) in (re)drawing this cartoon-ish human(?). The most basic of skills seem to have been used here and the eyes and forms appear accurate. There's little need to change accuracy of the shape as this one is already pro-like.
However, I instantly find an immediate con: the lack of background. What I mean by this is that the background is only white, and there's nothing special going on in the background. If you (at least) add a clear night sky behind the character then the drawing would appear much more 'full'. Adding at least a background can upper your overall score from the majority.
Another con: no color. I already know your situation atm as you've told me before, but you might want to filter in colors to the pic. Some people, including people that dislike black-white sketches, might provide low scores to non-colored pics, thus I recommend you to use some coloring material (I dunno, crayons?).
Next: no nose? Is the character supposed to have NO nose? I don't know the original character thus I can't rate this. However, I convince you to add a nose.
Last, shadowing on the cat appears foul as a section is darker than the other. I don't know if it's meant to be like that, but try to do the shadowing with the same pencil, method, etc. Don't alter methods as this can ruin your shadowing effort.
Overall: 2/5 stars. Not your best IMO,but not the worst. I believe you shouldn't rush the project. Obtain inspiration before you draw it; don't force yourself.
Actually, she's supposed to lack a nose in this picture, since in the series, it's quite a 'wut' moment. You know, anime is strange like that :P
I did add some small color in the drawing, though it's very subtle (her hair). I will keep doing that, but I'll add a little bit more.
The cat is by the way supposed to be black, the darker section was an unfortunate mistake with the pen :(
Also, I'll add a background; very good idea.
Thanks for the elaborate review, I'll take my time for the next one.