There's probably a good ("good") argument to be made that you shouldn't get your underage prostitutes via a famous spook's daughter, but those are not the contentious parts of the story; they're the facts.

You should instead be thinking: She's purveying wildly illegal services for rich and high-profile people, and her father worked for an intelligence agency. In the unlikely event the IC wasn't involved in the beginning, why would they not approach her post-hoc?

You don't need "cover" to be a good spy. You just need information and contacts. Cover is a tool to get those, because most people aren't as dumb as Bill Gates.