Nymphomania wasn't exactly her disorder. But her disorder made her want to be the center of attention at all times, and sex was the easiest way she knew how to get attention. So, indirectly, yes, she had an addiction to sex, but it was only because of what she got from it and not because she particularly had an addiction for the act itself. But that was neither here nor there at the moment.
What was here or there was the fact that he was giving her exactly what she wanted, and she giggled, tongue darting out to moisten her lips as her eyes peered intently into his own. "No, we haven't. But, you know, if I was your kitten..." She lowered her voice to just above a whisper for the next part. "Then you could do anything you wanted with me."