We bought a terraced house three years ago. There's a large bay tree in the front garden, next to the wall between our front garden and our neighbour's. The tree was growing into the wall, so we cut it back and revealed damage to the wall (pictures attached). The neighbour has "formally requested" that we provide a timescale for getting it repaired.
However, the wall is entirely on our property, built up to the boundary line but not crossing it, which would make it our wall, not a party wall.
Obviously we want to get the wall repaired eventually, but are we obligated to? Are we not free to do so in our own time, and to our own specifications?
Thanks!