It sounds like your conure is over preening. While molting will replace the damaged feather, the preening behavior patterns will make the new feather look tattered pretty quickly.
Over preening can be cause by a number of issues. Here are some of them, along with mitigation strategies.
Boredom: If you bird is bored, she will preen to keep herself busy. Try adding some more toys, especially ones that are 'preenable'. Getting her out of her cage to socialize can help as well. Basically, the busier she is, the less time she has to obsess over her feathers.
Itchiness: If her skin is dry, she may be itchy. Try giving her more frequent opportunities to bath. A lot of birds like to take showers as well.
Parasites: Feather mites will also cause itching and discomfort. If you suspect that she has mites, consult your vet.
Frustration: Some birds turn to over preening and/or self mutilation as a means of relieving frustration. Much like boredom, adding more enrichment to her environment and routine can help alleviate frustration.
When in doubt, consult an Avian Vet. It's important to go to a vet that specializes in birds. You can search for an Avian Vet near you on this site: https://www.aav.org/search/