The airline won't, that is the point. It is the airlines insurers that will either settle or defend any third party claim for damages. If the passenger had been travelling in your car and a Canada Goose flew through the windshield and caused them injury, they would be within their rights to sue you for recovery. Your insurance company would then be notified of the claim and should take over the matter. If the claim is successful by way of negotiation or judgement the insurance company will pay it (subject to excess). Similarly if the Goose causes $2000 worth of damage to your car, and you are comprehensively insured, you will also make a direct claim yourself, that in all likelyhood will be settled.