Rustle up a posse, the airline knows what it did.

Horse heads are my go-to.

It means you can bring them into arbitration. Judicial means a lawsuit, arbitration/mediation is extrajudicial. While "extrajudicial" can mean other things, they're not advocating vigilantism against the airline no matter how satisfying it may be for the CSR on the phone to hear about some executive's car getting keyed in the parking lot.

Still, throwing a tantrum on Twitter often does help a lot and it's also extrajudicial.

Arbitration.