Hi Whoever,
If you submerge the hat in water, you will have problems with the silk and the interfacing that gives the hat its shape.
However, if it is only the furry part that you want to clean it is possible to do this at home;-
Use a flannel, or an old towel lathered up with shampoo - then stroke the fur in the same direction that it lies.
Then use a clean damp cloth to remove the soap repeatedly until all the soap has gone, again in the same direction.
Use a hairdryer and a soft brush to dry it.
I've done this on fur and sheepskin and it has been successful.
Good luck.
Missy
xx