Concept:
Cranial nerves carry different functional components such as GSA, GVA, GVE, SVE, SVA and GSE. GSE fibers are motor fibers supplying muscles derived from somites, such as extraocular muscles and tongue muscles.
Step 1: Understand GSE fibers.
GSE means:
\[
\text{General Somatic Efferent}
\]
These fibers supply skeletal muscles derived from somites.
Step 2: Identify common nerves carrying GSE.
GSE fibers are classically carried by cranial nerves:
\[
III,\ IV,\ VI,\ XII
\]
These supply extraocular muscles and tongue muscles.
Step 3: Select the component not carried.
The marked structure does not carry GSE fibers. Therefore, the correct answer is:
\[
\text{GSE}
\]