The protein channels that provide passage for hormones and nutrients between animal cells are termed gap junctions.

Here's why:

* Gap junctions are specialized intercellular connections that directly connect the cytoplasm of adjacent cells. They are formed by proteins called connexins, which assemble into channels.

* These channels allow for the passage of small molecules, including ions, nutrients, and signaling molecules like hormones, between cells.

* Tight junctions, another type of cell junction, are responsible for sealing the space between cells, preventing leakage.

* Desmosomes are strong anchoring junctions that hold cells together but don't provide passage for molecules.

So, the correct answer is gap junctions.