Here is the full list of all 34 Domina achievements.
Throw a gladiator to his death
Kill 10 Lions in Combat
Defeat a Behemoth Regional Champion with your own Behemoth
Kill a gladiator with a thrown weapon
Kill 5 gladiators with a lion
Obtain a Lion to Fight in the Arena
Fully upgrade all Murmillo equipment on 3 different men
Surrender 25 times
Achieve 25 Victories in the Pit
Defeat 24 Regional Champions
Put to death 25 men
Achieve 1000 Victories in the Arena
Fully upgrade all equipment for a Retiarius on 3 different men
Achieve 100 Victories in the Arena
Dismember/decapitate 50 limbs/heads
Unlock All Doctore Special Training in a Single Playthrough
Sell 25 men
Defeat 12 Regional Champions
Spill 25000 Units of Blood
Finish the game with final victory
Kill 9 gladiators in a single battle with only one man
Spill 15000 Units of Blood
Achieve victory after breaking free from chains
Fully upgrade all Thraex equipment on 3 different men
Set 25 men free
Drive a Behemoth Regional Champion to Surrender
Kill a gladiator trapped in a net
Kill a man who is chained to the ground
Defeat 3 Regional Champions
Spill 5000 Units of Blood
1st Dismemberment
1st Decapitation
Draw first blood in 3 battles
Kill a gladiator with a wooden weapon