She has Starblast and Starbolt Trait as well, you need to mix up between all of her 3 projectiles (and all versions of Stardust), and know when to MB them like for Stardust as MB Stardust turns into a Reptile Forceball-like projectile that give you additional properties. Also regarding Stardust, the hitbox for that projectile in particular are active only when it explodes, that shows even further that you need to mix up the projectiles.
She shouldn't have that much of an issue with Dr. Fate. I didn't face that many Dr. Fate players, but as far as I know, not only she can counter-zone him well, she also has one thing that Dr. Fate doesn't, that's mobility thanks to her Tamaranean Charge (BF2).