Moisture creates nasty air in shoes. So if your shoes are wet and damp you need to dry and air them. For a wet inside, you can use newspapers by stuffing them inside your shoes.
Moisture will then soak into the newspapers and once most of the moisture has soaked into the newspapers you can take them out again so you can continue to let your shoes dry/air.
There are also expensive shoe dryers on the market for this purpose, but newspapers are at least as effective and is also a lot cheaper.