How does energy transfer to Earths atmosphere?
it goes through a window down the hall, then shes there
No. Most of Earth's stored energy is within matter and it will not "find its way out of earths atmosphere" on it's own. The only energy that leaves Earth is radiant energy (some heat, light, radio energy, etc) or matter that is thrown out of the atmosphere by cosmic collisions. Some particles and element (e.g. hydrogen) may also be lost to space as Earth orbits our sun.
Heat radiation from the Earths core. This heat is rising towards the atmosphere, and bounced back towards the Earths surface, in whats called the Greenhouse Effect. Next to the Earths hot core, the energy that heats Earths atmosphere is heat radiation from the sun. This heat is also being bounced as a part of the Greenhouse Effect.