“Destruction of life” - we are talking about a branch or two on a tree, so what? Trees get trimmed and pruned all the time out of necessity of landscaping.

Imagine the countless microorganisms that live and die each day, whose cellular membranes could be disrupted by the soap you bathe with. There could be billions or more living things that you murder on a daily basis by washing yourself. Imagine if your house was infested with roaches and fleas and you had to hire an exterminator to exterminate those lives.

Death and taking of life is simply a part of life, and we are inherent members of the food chain which perpetuates it, so it’s not productive to worry about every minuscule effect that every action has as a result.