She has an insatiable love for music.

Answer: Option A

unsatisfiable : not capable of being satisfied.
unchanging : not changing; remaining the same.
irreconcilable : (of ideas or statements) so different from each other that they cannot be made compatible.
undesirable : not wanted or desirable because harmful, objectionable, or unpleasant.
insatiable : (of an appetite or desire) impossible to satisfy.


Synonym of unsatisfiable is insatiable