What is the term for knowingly offering or agreeing to pay a fee for sexual conduct?

The correct term for knowingly offering or agreeing to pay a fee for sexual conduct is solicitation of prostitution. This term specifically refers to the act of seeking out or trying to engage with someone for the purpose of sexual acts in exchange for compensation. It underscores the proactive nature of the offense, highlighting the willingness of the individual to initiate or pursue such activities.

In contrast to other terms, "promotion of prostitution" focuses on facilitating or managing prostitution activities rather than the direct act of solicitation. "Prostitution enterprise" typically refers to a broader organization or business structure that profits from prostitution, whereas "public lewdness" generally pertains to indecent exposure or sexual acts in public spaces, which does not directly relate to the act of seeking sexual services for a fee. Each of these terms carries distinct legal implications and contextual meanings, distinguishing them from the act of solicitation.