Explanation of The Holy Right's ability to "defeat"

The Holy Right's strike that ends everything it touches and reaches anything when swung uses the Miracles of the Right Hand to create the most favorable outcome. The right hand adapts to the obstacles and hardships it must face regardless of its target's power, speed, distance and numbers. The strike then chooses the most suitable method of destruction to match the enemies difficulty and manifests it without using destructive force. While Fiamma of the Right possess all the power that should reside in the right hand, due to only being human, he is only able to use a percentage of this power to an unknown degree without Index Librorum Prohibitorum's John's Pen Controller and Imagine Breaker as a purification tool.

“Currently, they are aiming for Michael, the being with the highest-level power who was created to oppose Lucifer.” Lidvia’s voice was uniform. “Lucifer is the only being that has ever been allowed to sit to the right side of God. And Michael, who defeated Lucifer and became the ruler of all the angels, is a higher being than Lucifer, who was once his equal. Or so God’s Right Seat believes.” The right side. In the Christian Church, that position indicated equivalency. The first Christian martyr, Stephen, used the word “right” when honoring god to indicate that the Son of God was an equivalent existence to God. He used the word “right” in that way because, according to the concept of the trinity, God, and the Son of God were honored as equal. But what about an angel? Why was Lucifer able to sit to the right side of God? And did Michael really have such enormous power that he could defeat an archangel that sat to the right side of God?
(Toaru Majutsu no Index Volume 14, pg 181)

“That is correct. You could say my right hand has the power to create... miracles.” Fiamma slowly moved through the rubble and continued. “The Son of God used his right hand to cure the illnesses of the sick and revive the deceased. It was the right hand which drew the cross and scattered the holy water used for the baptism of Christ. Furthermore, Archangel Michael—the right hand of God—has the distinction of being the greatest weapon in history, having cast down an uncountable number of fallen angels; even Lucifer was defeated when opposed by Archangel Michael. It is such an overwhelming power.” The embodiment of the power of the right hand itself. The Holy Right.
(Toaru Majutsu no Index Volume 16, pg 194)

Fiamma was not like a Saint that pushed through with power and speed. Using a battle in an RPG as an example... What if there was a ridiculous command of “defeat” among the usual commands of “fight”, “defend”, “magic”, and “item”. Most likely, Fiamma would respond in the same way to Kanzaki or Acqua and he would defeat them just the same. It didn’t matter if his speed or strength were inferior. His exceedingly overwhelming “power” ignored any actions taken by his opponent and simply crushed them. It was like pushing a giant wall along to flatten a sand hill made by a child.
(Toaru Majutsu no Index Volume 20 pg 95)

“Did you forget what I announced back in the Elizalina Alliance? My right arm responds to the need, matches to the level of trials and tribulations, and uses the most suitable output. Whether it is an optical weapon or whatever else, nothing can stand up to me.” (This isn’t normal.) It was beyond playing rock-paper-scissors against someone who got to choose after you had shown your hand. Simply put, Fiamma was almighty. Whether you used rock, paper, or scissors, Fiamma would just use “win”. It did not matter what shape his fingers made. At the point that he made the challenge, he had already won. That was why Fiamma did not need the things that were usually necessary. Speed. Toughness. Intelligence. Physical strength. Space between him and his opponent. Numbers. A weapon. Fiamma could bring an end to the fight by merely holding out his hand, so he did not need any of the usual cards that would lead to a tiny victory when used together. He needed to do only one thing to win. He would swing his right hand and it was all over. That was all there was to it. It seemed he had been limited in the number of times he could use it before, but he had overcome that by compensating with the knowledge he received from Index. Now, Fiamma could win as many times as he wanted.
(Toaru Majutsu no Index Volume 22 pg 10)