The term that describes the structure of a cell plasma membrane because of its oily nature embedded with proteins is the fluid mosaic model.

Here's why:

* Fluid: The phospholipid bilayer, the core of the membrane, is not rigid but fluid. The phospholipids can move laterally within the membrane, making it flexible.

* Mosaic: The membrane is a patchwork of different components. Proteins are embedded within the phospholipid bilayer, like tiles in a mosaic. These proteins have various functions, such as transporting molecules, receiving signals, and acting as enzymes.

The fluid mosaic model accurately reflects the dynamic and complex nature of the cell membrane. It is a constantly changing and interacting structure that allows for the passage of molecules, communication with the environment, and overall cell function.