No, it is quite normal for women who have high sex drives. But now you have a 10 year old to care for, and you have to think about the impact it would have if suddenly the ten year old sees you sneaking in man after man into the bedroom at night. Divorce is hard enough on kids, I would really consider their feelings before bringing someone else or multiple people into their lives. That's not to say you shouldn't have sex because of your kid. You certainly have the right, but I'd be more careful because I know kids are very sensitive, so maybe limit the sex to when your kid is not at home, or go to the man's house and hire a babysitter.

Have you ever considered seeing a therapist or a sex counselor for this? It sounds like you know not to jump in to casual sex, but I am not sure if you do understand why you are having these feelings, which are very important to identify (it does not say here).