Could be both ? Your hyper sexuality can morph into an addiction. An addiction is sometimes you cannot control.
It's a compulsion. If it was addiction you'd be having sex to the point where it would interfere, dominate or just plain wreck your life. The sexual assault makes it a very complicated issue for the therapist. It seems to have triggered you into this hyper sexuality rather than asexual as was mentioned. It's very hard to control your thoughts, for sure. But I would suggest trying very hard to focus on something other than sex. Maybe a medical doctor could help you more than a therapist. I know that there are medications out there that can pretty much take away desire and ability.
Best of luck to you...