That depends on the others, I'd say. I don't think them sending her out with something of a mentor to earn some real world experience would be all that strange. Perhaps on a mission to help her learn more of what it means to be Aes Sedai? Perhaps in search of some semi-valuable book or something? After all learning the weaves and actually applying them are totally different stories. If nothing else, she can still Heal, which is more valuable than you give it credit.

I myself enjoy playing healers anyway. And in general just enjoy being a part of the story and interacting than anything else. I don't need to be murdering Trollocs like crazy to enjoy it. lol