She has an insatiable love for music.

Answer: Option D

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

Synonym of Insatiable is Unsatisfiable