In the end, it's up to you. I've had people suggest that I'm Asexual because of my own hatred for my sexual drive. I happen to disagree, as I believe that is not what Asexual means. It mean the absence of sexual desire. But, if you feel that Asexual best describes not wanting to have sex with other people, then that's your call.
You're you. That's something you'll hear a lot, don't worry too much about labels.