@AdamandJane0
An unfortunate situation that caused panic and damage in multiple ways. Deeply sorry to hear about it. Airbnb should have responded and acted more promptly and effectively to remedy the problematic situation in a timely manner. In my experience, Airbnb customer service acted much faster to a partial refund that a guest requested, though she was not entitled to it according to the refund policy.
I would recommend--
1) take pictures of the scene and show them when necessary as evidence to support your claim;
2) requet security deposit to cover expenses inccured;
3) increase your cleaning charge after this case;
4) consider only allowing light cooking with such appliances as microwave, electric kettle, and rice cooker only.
Also, note that many international guests are not familar with the stove we use in North America and need lots of instructions.