Who Would Win?

Dooku

The Force, Force Lightning, Telekinesis, Lightsaber Mastery, Mind Trick, Precognition

Curved-Hilt Red Lightsaber

Sith Order, Jedi Order, Confederacy of Independent Systems

Kara Zor-El

Superhero, Kryptonian survivor

Flight, Super Strength, Super Speed, Agility, Stamina, Invulnerability, Intellect, Blast Power, Healing, Weapon Master, Super Sight, Super Smell, Super Hearing, Invisibility, Phasing / Ghost, Radiation, Unarmed Combat, Sonic Scream, Tracking, Swordsmanship, Levitation, Omni-lingual, Vibration Wave, Heat Vision, Wind Bursts, Marksmanship, Energy Absorption, Stealth, Berserker Strength, Leadership, Longevity, Ice Breath

Kryptonian battle armor, red sun energy weapons (rarely)

All-Star Squadron, Crime Syndicate of America, D.E.O., Daily Planet, Female Furies, House of El, Insurgency, Justice League (Cry For Justice), Justice League 3000, Justice League of Amazons, Justice League of America, Justice League United, Justice League Unlimited, Justice Society International, Justice Society of America, Kent Family, Kryptonian Science Council, Kryptonians, Legion of Justice, Legion of Super-Heroes, Monarch's Army, Nightwing & Flamebird, Outsiders, Pet Club, Phantom Zone Inhabitants, Red Lantern Corps, Secret Six, Super Best Friends Forever!, Super Hero Girls, Superman Family, Supermen of America, Teen Titans, Tiny Titans, White Lantern Corps