Should I cut off cordyline flower?

I leave my flowers on and they become berries which are loved by long-tailed tits. Sitting outside on boxing day watching a flock of these 'balls of cotton-wool' birds feeding a few feet away is a trasured moment in my life.

Renee

I have a large flower on the top of my cordaline, it is 4 years old. All the leaves were very yellow so I have cut then all down. The flower at the top of my tree is very heavy and has a large stem coming up from the middle of the tree, can I cut it off or will it harm the rest of the tree if I do?

I have no photo's at present