Always shoot rapists, I can get behind that (better than in front, I don’t want to get shot).
Having testified as a witness in a rape case I can attest to the relative uselessness of the legal system (they didn’t even provide me basic protection, the guy who did it was right there, I didn’t want him to see my face or know my name, but oh well), it took forever and by the time I was on the stand I simply forgot many of the details, but in the end he got sent straight to jail, so big W all things considered.
In any case, getting a doctor’s exam early allows law enforcement to collect valuable evidence like DNA samples, not to mention that a rape can cause internal damage to a woman’s body that should get looked at immediately. They should always go to the police as quickly as possible and do things right.