If there is no tree preservation order on it already do not discuss it
with any neighbours. It will only need one person to contact the
council and a tree preservation order would probably be slapped on it
with immediate effect. then the tree is no longer yours, but all
responsibility is. :-(

Have to agree with the above :-((

This raised another thought in my mind. An "Area" can have a block TPO on it
and ALL trees are under that order. Very remote in your case, but it is
known and is more common in parks and public areas.

Mike