And I'd be fine with that. I didn't WANT her to be an experienced battle mage. That's clearly not her forte. She is a healer, not that she would be unable to use her skills offensively at all. Simple fireballs are still plenty effective to start with. Besides, even after becoming Aes Sedai, a lot of them still do have a lot to learn. It's not like they now know all there is to know after gaining their shawl. If anything it means they have MORE to learn now, because now they're specialized. Nor do they always leave the Tower immediately after they becoming one.

This would allow her room to grow as a character and as an Aes Sedai as opposed to just simply being one already. Which, imo is more interesting, and considering her pretty considerable power could easily be considered a bit of a weakness. Not even the most experienced Aes Sedai are perfect either. They all have their specialties and flaws. They're still human.