I was basically saying we gave up on her
1) Kairi needs her own Keyblade. So far, I doubt being a Wielder and having a Keyblade go hand in hand.
2) Battle Experience
Personally, I think Ven's kind of like Terra - he's already Master level, but Eraqus didn't have him go through the exam because of plot reasons.
It's kind of late in the game to start anything with Kairi, at least in this current saga, imo. Everyone else either had it from the get go (like TAV) or worked hard for a good while now for it (Sora and Riku). Kairi suddenly becoming important just feels detached.