Do you think I should tell a friend to take responsibility for her actions?
What did she do to upset you?
It is not important what she did. It is enough to say she hurt my feelings.
It can be upsetting to have people hurt your feelings so it is okay to ask them to take responsibility for that and make it right. It will help your friendship to resolve it.
Her feelings are important. If she was hurt she would hurt someone else.
Whenever someone does something wrong taking responsibility is important. You have the right to talk to her about this and I hope you take responsibility in the future for your mistakes as well.