Step 1: Recall the structure of thyroxine (T4).
Thyroxine (T4) and triiodothyronine (T3) are thyroid hormones derived from tyrosine. They contain iodine atoms as an essential structural component.
Step 2: Mechanism of synthesis.
- Tyrosine residues in thyroglobulin are iodinated by the enzyme thyroid peroxidase.
- Iodine atoms are incorporated at specific positions of tyrosine, forming mono- and di-iodotyrosine.
- Coupling of two iodinated tyrosines forms T3 or T4.
Step 3: Eliminate incorrect options.
- Selenium: important for deiodinase enzymes (converts T4 → T3), but not required for T4 synthesis itself.
- Iron: required in hemoglobin, electron transport enzymes, but not in T4 synthesis.
- Zinc: involved in transcription factors, not thyroid hormone production.
Step 4: Conclude.
The correct essential element for thyroxine synthesis is iodine.
Final Answer:
\[
\boxed{\text{Iodine}}
\]