In article , newspost-c-002
@familyfrench.co.uk says...

ISTM, talking to the tree surgeon we used last year, that what the LA
was really bothered about was tree's that are visible publicly, and
contribute to the visual amenity of an area. They don't seem so
interested in tree's hidden away at the back of a property.

The legislation on trees in Conservation areas, applies exclusively to
trees that present "public visual amenity".. the definition of which is
specified.
Janet