In The Lord of the Rings: The Rings of Power S01E01 "A Shadow of the Past", Elrond and Gil-galad had a conversation about Gil-galad not allowing Galadriel to continue her hunt for Sauron anymore:
Elrond: She has passed beyond my sight.
Galadriel was so certain her search should continue.
Gil-galad: We foresaw that if it had, she might have inadvertently kept alive the very evil she sought to defeat.
For the same wind that seeks to blow out a fire may also cause its spread.
Elrond: Then the shadow she sought... You believe it does exist?
Gil-galad: Set your mind at peace about it. What you did was right. For Galadriel and for Middle-earth.
What did Gil-galad mean by "[Galadriel] might have inadvertently kept alive the very evil she sought to defeat", were she allowed to continue her hunt for Sauron? How would Sauron "be kept alive" and his evil be "spread" by Galadriel's hunt for him?