Espionage, like all significant industries, relies heavily on one’s personal contacts. In the spy game, reputation and trust are much harder to build, given the necessary lack of transparency on all sides.
For this reason, espionage has often been something of a family business — the children meet the contacts of the parent, and thereby essentially inherit the store.
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.