It's a defensive lawsuit to clear their names from the lies of a malevolent individual.
She is the plaintiff, so, no, it is not a "defensive" lawsuit.
Further, there is no such thing as a "defensive" lawsuit "to clear one's name" for a Christian. Jesus said, "If any one would sue you and take your coat, let him have your cloak as well." This is fundamental to the Gospel: We are to suffer, not to defend ourselves. Period.
St John Chrysostom says: "As Jesus has commanded, we resist [evil] by surrendering ourselves to suffer wrongfully." Nothing about "clearing our name" or "defending ourselves." Again, period.
The martyrs did not try to "clear their name" (the very idea is full of pride!). Rather, when they were summoned by authorities above them, they gave witness to Christ in the venue in which they were summoned
--not by initiating a lawsuit or creating a public forum (a la the Internet) in which to "defend themselves
." The very idea that one must violate sacred scripture and canon law in order to "clear one's name" and that doing so is somehow required by God is nothing short of prelest