The phrase "busy nature" refers to someone who is regularly occupied or engaged in activities. It means that the person is always doing things and has a lot going on in their life. Full definition
Given the intense and busy nature of most scientific careers, it is easy to feel that one simply has NO TIME for such constructive engagement. (sciencemag.org)
Recognizing the busy nature of the end of summer and back to school season, Shedd Aquarium is making it easier than ever for guests to access nature and family fun in September. (sheddaquarium.org)
Though a «dull moment» may not often materialize, the busy nature of Hail, Caesar! (silverscreenriot.com)