Tony reflected later that night that he'd been getting a bit paranoid, worrying what the women were up to. So although he'd planned to interrogate Livia too, he didn't go and confront her, but let it ride for now. Given the history between him and Livia, he felt he needed to watch his step so as not to arouse Terry's suspicions.
That may have been a mistake, because, despite the beating he'd given her, Livia was still attracted to him and might have given something away which would keep him vigilant.
And Livia disliked Sofia, and had her own plans.