This could get tricky, given that alienation of affection is an intentional tort, and whether nor not discharge is possible could turn on the elements of the tort and the allegations made against you. In a bankruptcy court case from the eighth circuit, Stage v Stage, that examined South Dakota's alienation of affection statute, discharge was permitted ("We hold that the judgment for alienation of affections in Missouri state court established that Cynthia Stage acted willfully, but not maliciously"). In a South Carolina bankruptcy proceeding, Meyer v Meyer, discharge of a North Carolina alienation of affection judgment was not allowed ("The plaintiff has shown by a preponderance of the evidence that the defendant willfully and maliciously injured the plaintiff so as to preclude [discharge]").