Figuring out what to do with a storm-damaged tree can be troubling. General tree health can guide us to decide to try to save the plant or go ahead and remove it. A tree that already has had canopy damage in the past or heavily decayed may not be the tree to save. You may just decide that the tree will never look good again and that may be the deciding factor. If there was structural damage associated with the tree, your insurance company may influence whether or not the tree stays or goes.
Broken branches throughout the canopy is better than having lost a large limb, permanently disfiguring the tree. An Arborist can provide you an assessment of your tree, an estimate of repair and other future needs.
Branches broken in the canopy need to be pruned properly to prevent future decay. This also can mean that the remaining portions of the canopy will need to be thinned to maintain plant health. Large branches that have broken out of the trunk pose a more difficult repair and recovery. Most often the wood is torn deep into the heartwood, this leaves a deep wound that is slow to heal, and often never does even after many years. The edges of the wound need to be smoothed or rounded over to allow callous tissue to grow over the wounded area. Callous tissue grows at about one half inch a year, so you can see why it can take so long to heal. Wound dressings are no longer recommended, as research has shown no measurable help in wound healing.
With the strong winds and wet soils, evergreen trees have been seen listing or on their sides. Evergreen trees have a shallow root system compared to shade trees. Evergreen canopies act as a big sail in the wind and when coupled with wet soils the roots can slip. The result is often an evergreen tree lying on its side with no other apparent damage. If the evergreen is younger, there may be a possibility of righting the tree and re-burying the roots. For several years until roots regrow, those evergreens need to be supported. In some cases support is needed until the tree dies. Larger evergreen trees are much harder to deal with as the root loss is often too severe for recovery.