More important than the question of whether or not Carina should submit to his sexual sadism, is whether Mark should insist if she does not. Simply put, no he shouldn't.
This is just like all other sex, though it's important to get into more detail because of it's nature. Lay out the ground rules first. Number one is not, as one might think, establish the limits of what's okay and what's not, but to establish a safe word to stop the session, because she may not handle as much as she thinks so well. Then talk about what both want to try, and what both agree to. If either party says no, the answer is no, period.
Seriously, if you actually talk to people who are part of organized BDSM clubs and communities, they are much more strict about how consent works than conservative Christians are, because no genuinely does mean no. The only "exception" is rape and control fantasies, and that is the reason for the safe word. That word means stop, and it is to be taken as such, and anyone in such a community who disobeys that will find themselves kicked out immediately.