In the scene described, the protagonist experiences a fleeting moment of hope when initiating a search for someone significant. As she types the name, a rush of possibility fills her, akin to a fish struggling for air. This symbolizes the initial excitement and anticipation that comes with hope.
However, as the search progresses, that hope quickly fades, resulting in a feeling of despair. The metaphor of a fish flopping reflects the tumult of emotions, suggesting that what began as a hopeful endeavor quickly turns into a reminder of loss and unfulfilled desires.