Despite the common perception that anxiety and fear are linked, they are distinctly different emotions, for example: “Fear is a physical response to danger.”  “Anxiety is a psychological response to perceived danger.”  
 
Fear is generated by a specific stimulus, like when you see a snake in the grass, it can trigger a fear response. 
 
Anxiety, which is not necessarily tied to a specific stimulus, is a feeling of being at risk, but from no imminent danger, such as being anxious at the thought of a snake that might be in the grass.