What is might?

[Gordis]

Here is a quote where "might" clearly doesn't refer to "physical power" but more to "influence".

"How otherwise can it be for the Eldar, if they cling to Middle-earth?" said Celebrimbor. "Will you then pass over Sea?"
"Nay," [Galadriel] said. "Angrod is gone, and Aegnor is gone, and Felagund is no more. Of Finarfin's children I am the last. But my heart is still proud. What wrong did the golden house of Finarfin do that I should ask the pardon of the Valar, or be content with an isle in the sea whose native land was Aman the Blessed? Here I am mightier."- UT -"The History of Galadriel and Celeborn" ("The Elessar")