Sorry to hear of your loss. Like someone said below, it may be past the 7 or 15 day period for AIRBNB , but if she admitted to it in writing, then you can require airbnb to release her ID info (heck subpaena them for it) and you can settle it in small claims court.
Most courts process claims under $5000.
Dont listen to those who tell you theres nothing you can do.
Please do update us on what happened. Treat this as a very costly lesson NOT to trust people's good will esp if you think she is a lady like you or has some familarity/affinity to you. When it comes to $$$, peoples real side comes out.