What is a necessary element for the charge of annoying and accosting sexually?

For the charge of annoying and accosting sexually, a necessary element involves causing public annoyance through inappropriate or offensive conduct. This aspect captures the essence of the crime, which is often defined by actions that disturb or upset others in a public setting. The focus is on the behavior that is likely to be seen as objectionable or unwelcome to those around, fulfilling the legal criteria for the offense.

The other choices focus on aspects such as intent or consent, which do not align with the primary focus of the offense. While intent to engage in consensual conduct might mitigate potential liability, it does not establish the basis for the charge itself. The use of nudity can contribute to the nature of the act but is not a required element of the charge. Similarly, written consent from the victim would negate the claim of annoyance or accosting rather than being a prerequisite for establishing the offense. Thus, the key element here is the actual public annoyance that the behavior causes, making that choice the correct answer.