What is the ruling regarding a wife's position after her husband repents from searching for lesbian videos, if he had unintentionally moved the mouse cursor over the search term?

The question is unclear, but if you intended to divorce your wife should you return to watching forbidden things, and you suffer from obsessive whispers (waswas), then divorce does not occur by that. You must strive to rid yourself of these whispers by seeking Allah's help, making abundant supplications, and ignoring them. You also owe sincere repentance for watching forbidden things.