They were 'anxious' for their daughter. [=they were worried about what might happen to their daughter]
We experienced a few 'anxious' moments as we waited to hear the results of the test.
He was 'anxious' that the weather would not improve in time for the party.
(..) I don't know. Some man came without an appointment, Your Excellency. Waiting outside. Levin! Where did you disappear? I'm very anxious to see you. I need your advice. Well, come into my room, then. This is my oldest friend, Konstantin Dmitrievich Levin. Someone send word I'll be a few minutes late. (..)2012 Anna Karenina