Twilight does look very bright and cheerful in this style, especially with that winning smile. It's hard to imaging making the ponies' eyes more anime-like since they're so big to begin with, but with the eyebrow and eyelash effect plus the extra shines they really do look anime. The highlighting style on the mane looks pretty sweet too, an the extra bumps on the horn give it some real character 9and a sharp pointy tip!).
The scene itself is terrific too, a quiet writing session late at night while looking out into a beautiful starry sky. Nice work on the table, candle, etc. too.
Animu means anime. The word Animu is a term used to describe both Anime and Japanophiles (someone obssessed with Japan and anything Japanese) who attempt to give Japanese sounding pronunciations to words that were not Japanese to begin with. It is not meant to describe any specific form of Anime.