It is not completely up to the complainant to "drop the charges." Instead it is up to the State. In many circumstances, they cannot pursue it without the complaining witness, but that is not always the case. It typically depends upon what other evidence they have, if the witness fails to appear.
This is not intended as individual legal advice and there is no attorney client relationship established by this answer. It is advisable that you seek individualized legal assistance. This is not a substitute for hiring an attorney.
Mr. Doyle is correct as usual. The victim does not press charges as many people mistakenly believe. The victim reports the incident to the police who investigate and, if the facts warrant, pass the file to the prosecutor who is the one pressing charges in the name of the state. If the victim doesn't want to testify he can be made to.
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