Reading chapter 3, I think I see what you mean. It's not exactly hypocritical of her in the moment with what we've been given, but if she starts feeling uneasy or suspicious about MC being around his coworker who is pretty clearly upset that he has a girlfriend, while she asks that MC trust her with what she does, I can see that being both an interesting character flaw, and a rather annoying & detrimental facet to her within the narrative - especially if she ends up jealous and accusatory of him, while he's trying to be respectful and at least not express his worries aloud about her.
Regarding chapter 2 - I already don't really buy her line to him about not having sex with clients. She states "it's against the rules of the venue", but she immediately broke the rules for him.
You can say "well sure, MC's her boyfriend, so he'll get special treatment", but there's also the angle that, she's 100% demonstrated that she will cross the line and break that rule, rather than holding fast to it regardless of who she's with. Someone offers her enough incentive or draws her interest in just such a way, and there's no reason that she wouldn't do it again for someone else.
It's one of those "you either hold the line for everyone no matter what, or you give in once and suddenly it's easier to do it again next time". Not saying she would or will, but she's demonstrated that she's capable.
It's an interesting story, and I do wonder where it will lead (looks like it completed July of this year with some 31 chapters (4 volumes) - but I also don't expect him to end up with her come the conclusion. I do think I expect him to grow as a person out the other end, and also that both of them will cheat on the other with someone.
As a study of people in "unusual" relationships, I think there's something of value to tell here. But I feel like it's one of those stories where for some, it'll be better read clinically with detachment and as a study, of sorts, rather than trying to identify or really get immersed in the characters and the plot, given the relative controversial nature of what's at play.