I am surprised you were so careless regarding something so valuable for you, and considering that the previous maid was a thief, even more.
If you report this to the police, I am almost sure the necklace will be traced, but keep in mind that the cook and the maid will be "questioned" (probably tortured), till they talk.
Hear my warnings, unbelievers. We have raised altars in this land so that we may sacrifice you to our gods. There is no hope in opposing the inevitable. Put down your arms, unbelievers, and bow before the forces of Chaos!
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If you report this to the police, I am almost sure the necklace will be traced, but keep in mind that the cook and the maid will be "questioned" (probably tortured), till they talk.