KanjiJLPT N1
Accomplish

consummate, accomplish, attain, commit (suicide)

Mnemonic

A pig with towering horns sets off down a treacherous path, determined to reach its end. Mile after mile, the horned pig gores through every barrier blocking the way. Battered but triumphant, the pig finally reaches the last stretch of the path and manages to accomplish its quest.
Additional thoughts
Picture the pig's horns glinting as it barrels down a winding mountain path. The horns are its tool for breaking through obstacles; the path represents the long journey. Accomplishment comes only after the full path is traveled.
Quick recall
A pig with horns charges down a brutal path to finally accomplish its quest.

Details

The keyword for 遂 is accomplish. This kanji conveys the idea of carrying something through to completion, successfully fulfilling a goal or purpose. It emphasizes the sense of finally achieving what one set out to do, often after sustained effort or overcoming obstacles. It can also carry the nuance of "in the end" or "at last," suggesting that something has been brought to its ultimate conclusion.
On'yomi
すい
Kun'yomi
と.げる、つい.に