Should a busy teenager still have at least 1 chore?

I can relate with what the teenager is saying and what you, as the mother, are saying. It's difficult to fit chores into an already busy schedule, but it isn't entirely about finding the time, it's about finding the energy. Occasionally spending time with friends is important to lower stress and improve mental health. That is probably why she can find "time" for friends but not chores. She ran out of energy with other responsibilities and maybe spending time with friends is her way of getting the energy back. But I also understand that you probably feel the same way about your responsibilities and need help getting some of the household chores done. I'm also a young mother trying to juggle many different responsibilities and I feel like I need the ability to occasionally get out of the house in order to keep my sanity, but being a single parent makes it a little more complicated to get out. I don't have any solution to suggest to fix your situation since I'm not there to see the people involved or their needs, but I think that there is probably a compromise that can be reached if you both discuss it with open minds towards each other's feelings.