Do you know that it's Whitlow (not winslow)? Has it been diagnosed as that?
If it has, chances of auto-inoculation are slim once you have had it long enough to have antibodies. Antibodies form within a few weeks to a few months, and will help protect you from getting the same strain in a different location.
If you don't have a sore, you don't need to worry about transmitting it. The virus doesn't shed from non-mucus membrane skin, like the skin on your hands.
If it hasn't been diagnosed as this, see your doctor, because lots of things - like staph, MRSA, etc - can cause serious infections, and those need antibiotics.