Some of these don't entirely fit the criteria, but I'm recommending them anyway :)
Ouran High School Host Club
Kimi ni Todoke
Skip Beat!
Princess Jellyfish (Kuragehime) - This one fits the criteria quite a bit, but it uses terms like 'otaku' & 'mangaka', so maybe it's for a later time?
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Fruits Basket
And definitely check out The Wallflower (Yamato Nadeshiko Shichihenge). It fits the criteria to a tee
Well guys! my cousin here wants to learn about anime well she is a girl she wants this kind of anime that a girl who is very ugly and someone help her or she turned herself into a awesome or beautiful person. Any recommendation. FOR OUR FUTURE MEMBER OF THE OTAKU FAMILY!(๑•ㅂ•)و✧