A hotel is not responsible for the criminal actions of its employees unless you can show that the hotel was "at fault" in some way--e.g. that they knew employees stole but turned a blind eye.You could sue the housekeeper, but without some evidence of her theft (i.e. a confession; finding the ring or other belongings of yours on her; etc.) it will be very difficult to prevail--you'd have to show that it's more likely than not that she stole, and since there are many other ways the ring could go missing (e.g. you lost it), that will be difficult without evidence.This is what insurance is for--seeking compensation when it is difficult or impossible to hold another liable. You may be able to submit a claim under your homeowner's or renter's policy; check what your policy says.