"Re-kindling" refers to igniting something again or renewing something that has lost its spark or energy. The antonyms for this word would be extinguishing, quenching, and suppressing. Extinguishing means putting out a flame or ending something. Quenching is to satisfy a thirst or hunger, but also means to suppress something. Suppressing means to stop the expression or flow of something, including emotions or ideas. In essence, the antonyms for "re-kindling" indicate the opposite meanings of reigniting, reviving, or renewing something. They emphasize the act of ending, stopping, or putting out something that was once burning or lively.