I don't think that changes anything about how implausible it is to go from her superiors being concerned about the strain on her of having sex with a handful of guys at the bar, to being fine with her fucking dozens, maybe hundreds of guys in the hopes of running into one particular client.
In 'Girls Night Out' episode there was a mention that one of a clients had single testicule, which matches with description of our target. Hence, for our agent it might look like they're getting pretty close to their target or at least making meaningful progress. Add to that sexual progress after all stuff that was done so far, sort of, the more you do it - more okay you are with it - more normalized it becomes. That kind of logic might be employed here. Sum it up with patriotism, empathy, personal challenge, etc.
I'd say it changes things somewhat. And given it's ultimately a porn game, that flimsy excuse might be enough for the superiors to eventually, grudgingly give up and accept they have no other option some weeks down the road, perhaps after MC moves first to dance shows (as she's had a small taste/experience with that during girls' night out) and the idea MC is having sex as part of her job becomes less of novelty to everyone involved.
If you make head of Buerau a pervert, who starts to enjoy or already enjoys this situation happening to his agent, it could hypothetically be a good enough reason. Its just.. everyone who works for secret service is a knight in shining armor, director is a beam of light, living legend, and also quite a gentleman. Companions that assist our agent in field is good souls and all that, almost makes you believe they would never hurt a fly. It's just has that idealistic feel to it. Potential to inject some gray morale is there, so far unfulfilled. It's Call of Duty or Tom Clancy all over again, come on, mix it up a little.