No, Termidor SC will not kill your tree, however, it is not labeled for use on trees or any other vegetation. This should only be used around the perimeter of your home.
Termidor SC is a great exterior product for ants including carpenter ants. It will last for six months as a topical outdoor application but can take some time to fully eradicate as the ants carry it and transfer to other colony members. You will be able to get rid of Carpenter Ants more effectively if you can locate where they are coming from. They are the most active at night between 10AM-4AM. We do recommend treating with the Maxforce FC Carpenter Ant Bait and the Advance Carpenter Ant Bait. These baits will be extremely effective. The granules should be applied when dry outside and you are not expecting any rainfall within 24 hours of application. The bait gel can be applied directly to indoor cracks and crevices once every two weeks.
Termidor SC can only be applied around the foundation of your home or other building structure for control of ants and other listed insects. You cannot use the product out on or around the trees or fences because it is not labeled for this type of application. We recommend using our most popular product for spider mites, Talstar P. Talstar P is known to have a pretty good miticide effect for these plant-infesting pests. When Talstar P is over-used the mites are known to build up a resistance to the active ingredient. The other choices would be to use a Horticultural Oil or an insecticidal soap. Both of these products work best when they make direct contact with the pest and both products are known to cause discoloration to spruce trees. The pro to using one of these products is that spider mites cannot build up a resistance to them.
Termidor SC when applied to wood would only last about 90 days and would not be used as pre-treatment for wood.
Bora-Care is usually the preferred choice for pre-treating wood that is exposed and it is raw wood you are treating, meaning it is not painted, stained, or sealed, it is just normal wood. Bora-Care is made only for wood. Bora-Care is sprayed evenly over all exposed surfaces of the wood and actually penetrates through the entire piece of wood. For frame up, you would apply to the bottom 2 feet of wood.
We also have a great article here about Barrier and Soil Treatments for termites that might be helpful.