Red mage is close, but the job name that might fit her best would be Spell Blade. I don't remember from which Final Fantasy it originated though. First seen in Final Fantasy 5.

If it is indeed a new job, then for the love of all that is good, make it a DPS. Sword/Shield and Greatsword have both ended up as tank, if they end up making Spell Blade (or Red Mage) a tank as well the development team is gonna have a riot on their hands.