  This paper provides two obstructions to small knot complements in $S^3$
admitting hidden symmetries. The first obstruction is being cyclically
commensurable with another knot complement. This result provides a partial
answer to a conjecture of Boileau, Boyer, Cebanu, and Walsh. We also provide a
second obstruction to admitting hidden symmetries in the case where a small
knot complement covers a manifold admitting some symmetry and at least two
exceptional surgeries.
