Let’s talk about prostitution and escorting: Escort is often used as a euphemism for prostitute, that does not make its other meanings less valid. A prostitute is a person who receives payment for sexual services rendered, think of it as a legalistic umbrella term (although please remember, many prefer the term sex worker for being more reflective of the reality of the work).
Depending on where you are, escort as a prostitute can have different meanings. An escort is someone who is paid for their time. Often compared to a prostitute. An escort is not paid to have sex but, is paid for their time. What they do within their time is their business, which could in fact be sex.