You ex wife can certainly bring an action against you. She can do so directly under civil law or indirectly through the police under criminal law. This will of course depend on what kind of verbal abuse she is alleging.
It is difficult to advise as to which court it will be heard in without knowing the extent of the domestic abuse, and whether she wants to initiate a personal action against you (civil law) or a criminal action by complaining to the police.
It could either be heard in the Family Court of Australia, the Local Court or the District Court.