Tough one to call that is. You'd like to think that as a bare minimum, she'd at least appear as a character.
If it was me personally, I'd have had Ash, Misty and Brock travelling together, then "Blue" travelling (perhaps with some buddies she meets), Gary travelling (perhaps with some buddies he meets) and the Pallet trainer with Charmander travelling (again, perhaps with some buddies he meets). The Pallet trainers could occasionally meet up with each other, or we could occasionally have episodes focusing on "Blue", Gary and the Charmander trainer so we could see other parts of the Pokemon World, see their journey from their points of view and even give us an occasional break from Ash and the gang.