Final answer:
The nurse should recommend the application of ice packs for a breastfeeding client experiencing engorgement due to the cessation of breastfeeding, which disrupts the positive feedback loop of milk production.
Step-by-step explanation:
A nurse recommending nonpharmacological pain management to a breastfeeding client experiencing engorgement should suggest the application of ice packs. When a woman stops breastfeeding abruptly, engorgement and leakage can occur due to the continued production of milk. The baby’s sucking stimulus normally regulates milk production through a positive feedback loop. With breastfeeding cessation, this feedback loop is interrupted, causing milk buildup and engorgement. Applying ice packs can help to reduce inflammation and inhibit milk production, providing symptomatic relief.