Make sure to rinse and dry very well, and please, wear cotton undies. Do it for me. Tell her Mynx says so, and it's for the good of your dick. I guarantee she'll hop to. If meticulous cleaning and breathable undies don't improve your minefield schlong, see your friendly neighborhood dermatologist for help.
Daddy Wait it out.
Seriously that's about all you can do. Most people have experienced the soreness that comes from a hefty workout of the lovenest - be it self inflicted or otherwise. The soreness and puffy look of the abused little daushaund will diminish within a couple of days if you leave the old doggie alone for a bit. Don't yank on it, pick at it, pull it or twist it. Don't dip it in orange juice.