My Leather shoes are covered in wet mud. They are Ahnu, Karma sandal shoes, with a stitched pattern. If I let it dry, they will be permanently disfigured. Do I hose them down, or wipe them and bring them in to my shoe guy?
Generally, it can be hosed off.
However, these are suede shoes, which require a little more care than smooth leather. I would try wiping the mud off as gently as possible.
If that's not possible, hose them down, patting the water off right after. Then stuff them full of paper towels to absorb the moisture and use a suede brush (finger nail brush, if you lack the suede brush) to remove the water stains with more paper towels. Inside the shoes is the same treatment, but the sole may be irrecoverable from stains.
If there's any kind of mud stain, vinegar may help to remove it, with a suede brush.