I also forgot about the magic sword that'd probably help against Superman as well since I believe Clark is still vulnerable to magic in the 52'Verse.
He might be vulnerable to the sword, but couldn't he just take it away from her? He does move at super speed. Or just blow her away with his super breath. Or heat vision. Etc.
If playing by the rules they have established: Supes cleans the floor with, magic sword or not.