The phrase "suffering a hit" generally means experiencing a loss or setback in some capacity. Some synonyms for this phrase include taking a blow, being dealt a setback, experiencing a setback, suffering a setback, or enduring a blow. These phrases can be used in a variety of contexts, including business, sports, and personal relationships. Whether it is a financial loss, a physical injury, or an emotional setback, there are a variety of ways to express the idea of "suffering a hit". The choice of words may depend on the context, but all these phrases should communicate the concept of experiencing loss.