Should we prosecute rapists even when they do not want to press charges? Ultimately, the state decides whether to file charges, but it is not common that they do so unless the victim is in favor.
My thought is, a crime is a crime. If someone commits a crime as significant as rape, he or she should be held accountable. If the victim resists pressing charges, then you have what is called a hostile witness, someone testifying against their will.
I have thought on this topic before, and am reminded of it as I read a story about how Juanita Broaddrick alleges she was raped by Bill Clinton when he was running for governor of Arkansas.