Here is something interesting.
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Biglobe's anime Rankings asked female fans which female character aggravates them most and male fans which male character annoys them most. Some heinous villains made the list. So did some weak and/or irritating protagonist. So did a number of characters generally regarded as fan favorites.
Female on Female (17,764 votes)
1. Bleach's Inoue Orihime
2. Gintama's Tsukuyo
3. Haruhi Suzumiya
4. Sword Art Online's Asuna
5. Madoka Magica's Homura Akemi
6. Listen to Me, Girls. I Am Your Father!'s Hina Takanashi
7. Bakemonogatari's Nadeko Sengoku
8. A Certain Scientific...
