If you are anxious to do something or anxious that something should happen, you very much want to do it or very much want it to happen.
双语例句
例： Both the Americans and the Russians are anxious to avoid conflict in South Asia.
美国人与俄国人都迫切希望避免在南亚发生冲突。
例： He is anxious that there should be no delay.
他非常希望不会有任何延误。