Problem with 7 year old Cordyline

I am aware that the recent snow has caused severe problems for cordylines. Just wanted to know how I should treat my 7 year old cordyline. It is in a very open space and is the centre piece in my front garden. It is now about 4 feet tall – has split into three sections. The recent snow and ongoing cold has started to rot the tree. I am very concerned as it has started to rot from the growing tips and the new growth is starting to fall.. Will it regrow or is it dying? Please advise