She's not going to win, it's just to make a point. No judge would rule in Gaga's favour here, calm down and clean up your underwear. As if Gaga even has time to have a say in this, likely her management and legal team have done it all.
When you troll, someone responds to your trolling, you report them expecting them to get warned/no mod to actually fact check, and you walk away with two very deserved points.