So what exactly is the question? I presume you are asking for some anime suggestions that suitable for her. If that's the case I'd be more than happy to make a few suggestions.
Haibane Renmei
Spice and Wolf
Clannad
Kanon 2006
Air
Pokémon
Summer Wars
Magical Girl Madoka
Fairytail
Card captor Sakura
D.N. Angel
Hotarubi no Mori e - This one is a short film. 47minutes long roughly. It's really worth watching.
5 centimeters per second - Another good film, also worth watching.
Grave of fireflies - Also a film, based on a true event that happened. A very heartfelt film, one of my favourites. (Studio Ghibli film)
She could also try the other Studio Ghibli anime films. They are good, and sound like they might be the types that she likes.
link
I've made these suggestions based on two things. One: Little to no fan service. Two: Little violence. I can make more suggestions, but most have some form of violence in them. Of course, nothing serious, but your parents might still be against it.
Picture - Hotarubi no Mori e