Just like the martial arts masters in novels who might duel incognito, unable to recognize each other's faces, but the moment they crossed paths again, they could identify each other by techniques alone.
Although the fleet duel that day was conducted on the Magic Network and there was a layer of the Magic Network between them, Dorothy didn't know who the Fry Cook was who used a regular fleet to reverse-kill her Dream Fleet. But his extreme micro-manipulation and flawless tactics, as if he would never make a mistake, were deeply engraved in the Homebody Witch's mind, likely unforgettable for life.
But the world is so vast, and there are so many Magic Network users, so for her to think about seeking vengeance, well, the odds of them meeting again were really slim.
Her subsequent dedication to studying military strategy was more about avoiding falling into the same trap twice, not solely for the sake of revenge.