A person is said to be a nymphomaniac when they are obsessed with sex. Like all addictions, the lack of sex can cause deep depression.
So the answer is yes! Nymphomania, not to be confused with hypersexuality (having a large sexual appetite) is indeed an illness! It is a pathological and addictive behaviour that cannot be cured by itself. It is characterised by a compulsive need to make love without worrying about the personality, appearance or partner with whom they can satisfy this imminent need. The nymphomaniac woman is unable to maintain a single relationship. She will let her urges overwhelm her in the workplace, in her social and family life. Sometimes they even put themselves in danger by doing without intimate protection because the urge is so strong.
Nymphomania is a defence mechanism symptomatic of an unresolved problem. The cause of this unhappiness must be found and therapy must be sought in order to understand this addiction. There are also medical treatments that inhibit the libido. The only drawback is that patients become dependent on this medication and the urge returns after stopping it.
Nymphomania is not a fatality and is treated like any other pathology. With patience and a trusted therapist, it is possible for them to discover sexuality from a different angle.