Yes, you should. but I wouldn't go in guns aflame trying to get your score up, but I'd go in and try to let it be known that games ARE works of art. Even write an essay or paper with some of the most beautiful and artful games. Besides, docking marks just cause you alone don't think games are works of art is kinda unfair. It's just cause she doesn't understand the idea of games being artful, so she just shrugs. Though The Madman is kinda right about the Pokemon thing.
Anyways, go with games with fantastic detail and worlds, some with crazy well done attacks and animations, beautiful orchestral soundtracks, and even ones with amazing stories. Honestly, Okami and Okamiden are great for pretty much all of those, except the orchestral music part. But it's still amazing. And the ending to Okamiden made me cry. No joke. Me, a guy, who's played MANY games since he was 5, managed to cry this time. That's saying something huge for sure.
You may or may not get your score up, but if you offer to write a paper to try and show her games are works of art, she may be willing to re-consider. Just go in to prove yourself, not justify a score increase.
Games to use for this:
Okami [everything]
Okamiden [everything]
El Shaddai [animations and details]
Lunar Silver Star Harmony [story, music, animation, both character, cutscene, as well as attack animations]
(maybe) Kingdom Hearts [some story elements, and a few other things. This isn't a top choice]
(maybe) Final Fantasy [depends which one really]
(maybe) Xenoblade [for its worlds and detail]
I know I'm missing others, but these are some decent ones to work with.