Can you post photos so we can see the extent of the injuries?
Is the "stinky" from the wounds, any sign of infection, pus?
Depending on the injuries, you may be better off flushing the wounds with betadine, vetericyn, or chlorhexidine instead of giving her a bath. A bath may cause more stress/shock. Once she is dried, you may want to apply some more vetericyn or plain neopsorin to the wounds. With not seeing it, she most likely does not need to be wrapped, the wound(s) most likely need to have some air on them to heal. Infection signs would be pus, odors, etc.
If the wounds are infected then you may have to resort to administering antibiotics to help her heal.
Keep her warm and dry, provide her with her normal poultry food, you can wet it if needed, also some hard boiled/scrambled egg or tuna can be offered if she won't eat her regular food. The sugar water can be helpful , but you may want to see if the local feed store has some poultry vitamins/electrolytes.
As far as the bugs you are most likely seeing poultry lice or mites. Poultry dust is generally the most effective treatment, again depending on where the wounds are, you may be able to apply small amounts to the vent and around the head, under the wings etc. I would be hesitant to get any in the wounds.