We could take it that she has Washington fingered as a fall guy for a while and that the player's involvement was simply coincidental. She was always skating on thin ice doing what she was doing and would have needed SOME sort of escape route if she wanted to maintain her public status. Anyway, it is what it is.
And Mission 4 and 5 were swapped so that the canon narrative worked better! Initially I thought a throwdown with TRN would be a good finale, but it didn't fit the timeline, or the initial peek behind the scenes. That Mission 4 fight is odd though. It's possible to just win it fast, but even a little raise in the difficulty and TRN is a monster.