Step 1: Concept
Molecular geometry is determined by the VSEPR (Valence Shell Electron Pair Repulsion) theory based on the number of bonding and lone pairs.
Step 2: Meaning
Tellurium (Te) is in group 16 and has 6 valence electrons.
Step 3: Analysis
In $\text{TeF}_4$, Te forms 4 bonds with Fluorine and has 1 lone pair remaining ($4 + 1 = 5$ electron pairs). This corresponds to $sp^3d$ hybridization. The electron pair geometry is trigonal bipyramidal. Due to the lone pair, the molecular shape is "see-saw".
Step 4: Conclusion
Among the given options for electron pair arrangement/parent geometry, Trigonal bipyramidal is correct.
Final Answer: (C)