proteins have a three dimensional structure that gives them a specific shape and allows them to preform many different functions in living organisms.

which one of these is not a function of proteins that depends on their structure?

transporting proteins across the plasma membrane of the cell
storing energy inside the cell
translating and receiving chemical signals
providing support internally and externally for cellular organelles

storing energy inside the cell

The function of proteins that does not depend on their structure is "storing energy inside the cell."