and then people wonder why the governmnent enacts lots of regulation protecting tennants...
I don't think you have any genuine cause for concern.
Indeed your bigger concern would be after posting this decision here and then kicking the tennant out, lets say someone put two and two together? Your tennant decides to go on and hang themselves off the outside balcony because they could not bear moving out with everything else going on in their lives.
That, I reckon would put your investment property on every current affairs program on Australian TV, except that suicide fortunately is never publisized except if it is likely to be of genuine public interest. Unless your tennant is a rock star or cricket commentator I don't think you have too much to worry about.
I have never subscribed to the old "any publicity is good publicity adage", and I think in that instance your life would become a nightmare, even putting to one side your investment properties value.
As others have said people die, in homes and elsewhere.
I could even be farcical and say someone dying in your home is good for its value. Look at a house in old parts of London or an old mansion in Toorak. These suburbs are almost certainly going to contain houses that have a solid history of many generations growing up and dying in them, quite possibly some by suicide and look at their values...