Well its been ten weeks since the storms that created so much havoc both in the whole area and to me personally.
The phone was re-connected in five days. The electricity came back in seven days. The road down the front was cleared away in five days, the actual trees themselves were removed and taken for wood chipping or firewood three weeks later.
In the intervening seven weeks nothing has happened in the back yard. In fact the insurance assessor only came out earlier this week. As it is simply external damage, it was low priority - people who couldn't live in their homes were highest priority and well with so much damage up the coast, it took them 10 weeks to get to my landlady's claim.
She still doesn't know if they will cover much of the work. Removing the tree and replacing any tiles on the roof will indeed be fixed.
Apparently her insurance company does not cover storm damage to grounds or external structures (like walls, fences, gates etc). Apparently because the storm created sooo much havoc in such a large area, they made a decision to offer home owners a one-off payment towards this type of damage. My landlady doesn't yet know what amount that will be or how much of the removal and rebuild work that will cover.
Nor will the insurance company cover any extra damage done during the wait for the assessor. For example if there is any water damage in the ceiling (from water coming in from the broken tiles because of the tree) it will not be covered.