@Mike-And-Chantal0 How horrifying this is for the wife - no doubt the reprisal she fears if she presses charges is even worse than the severe violence she's already enduring.
I guess that's one thing to bear in mind if you choose to follow the process of requesting compensation that's outlined here. What happens first is that the guest is contacted with a request for money, which he sounds certain to deny, and then you have to submit all the documentation of your expenses, along with photos, police report, and anything else that would be useful, and in the course of some weeks an Airbnb mediator might grant you some portion of the amount you claim. Or maybe they won't. That happens all the time.
Even if the claim is ultimately unsuccessful, another possible consequence of filing it is that this man's severely violent temper is inflamed, which he'll immediately take out on his wife, perhaps this time fatally.
Another way to pursue compensation would be through your STR insurance, which is usually the better option when structural damage is involved.