Advice on a damaged flue pipe

[Kassava1965]

Hi,
Just looking for some commonsense advice around the options for a damaged flue pipe.
Currently going through sth hemisphere winter in a rental - overnight temp sits around -7°C (20°F)

 

[bholler]

We need a lot more info and probably some pics to be able to give any advice

 

[begreen]

Where is the damage? Is it to the stove pipe or to the chimney pipe that it connects to? Can you post some pictures of the problem(s)?