Wiktionary
n. 1 A company that provides customers with companions for a fee. 2 A brothel.
Wikipedia
Escort agencies are companies that provide escorts for clients, usually for sexual services. The agency typically arranges a meeting between one of its escorts and the client at the customer's house or hotel room (outcall), or at the escort's residence (incall). Some agencies also provide escorts for longer durations, who may stay with the client or travel along on a holiday or business trip. While the escort agency is paid a fee for this booking and dispatch service, the customer must negotiate any additional fees or arrangements directly with the escort for any other services that are not provided by the agency involved, such as providing sexual services (regardless of the legality of these services).
Usage examples of "escort agency".
There was an additional note to the effect that Dempsey had also worked for an escort agency and had been questioned after a foreign businessman “.
Caroline could take her to his mother's townhouse, the official business address for the escort agency.
When she got tired of the aromatherapy business she worked for an escort agency - no, not the kind you think - she escorted children to and from boarding school when the parents were abroad.
If he was feeling really lazy he could pick up a client through the Escort Agency, but they always creamed off a fat portion of the fee.