I mean... I guess regular martial arts wouldn't be too powerful anyway. She wouldn't know how to harness Ki for her attacks. She would be using a martial art of regular people, so she would just have some decent attack skills, but nothing that would be too useful against ordinary enemies (note that martial arts of the abyss are alot different than martial arts of average people). So i guess it wouldn't put your character at too fair of a disadvantage....

Note that a Gamer would have access to magic and know how to use those weapons as that is part of it. Its weather or not you possess the right Talents and Stats required to use/learn/use properly those things. A high Int and Knowledge are needed for magic. It doesn't matter what sort of special thing you have. Your 'Class' is Gamer. If you get the skill book for it or the stats/Talent scores needed, you can use it. That is one of the reasons why the few people in the abyss who know about the power (Genji Ban and Saito Tatsumi) consider the Gamer Power to be fucking bull shit XD 

(If you read the Manwha, even the MC and his martial artist friend also make references to how freaking broken the Gamer Power is)

We can say your character is just good at this martial art and it would be a Talent or something that she has. Might give a couple bonuses, but its still an average people thing (like even a grandmaster or whatever of your chara's martial art... easily owned by people of the Abyss if they weren't ability users). 

So under this assumption that you would just have a special Talent that makes fighting a bit easier (but doesn't necessarily give your character super abilities) I will allow this...