For exceptionally damp areas such as bathrooms or damp basements the wool carpet may not be suitable as it would rarely if ever have the opportunity to dry out and could cause problems associated with the moisture retention including mildew and mold.
Drying out wool carpet.
Use a little white wine to saturate the stain.
Further drying out the air also speeds up the drying process.
If carpet padding is soaked through your best bet is to replace it.
You re going to want to try to dry the pad without removing the carpet especially if the pad seems to have only gotten a little damp and the subfloor seems dry.
A dehumidifier in a closed room will pull out water fast and can be rented from rental companies.
Blow air between carpet and padding.
There is also a neat trick that you can try with dried red wine.
Check the padding and flooring beneath the carpet.
If you have wool blended carpet then you can substitute ammonia for a mild detergent or a chlorine bleach mixed one part to five parts warm water.