What is the difference between fear and anxiety? I've always experienced a lot of anxiety. In many ways that was and remains a driving force in my practice. More recently I've experienced more fear. I feel fearful and under threat. They do feel different but I'm still working with them and will be for a long time. In terms of the Buddhist texts and psychology what is the difference between fear and anxiety? Are they spoken about as different things? Are there different Pali/Sankrit terms for them? Is there different ways of working with them?
In traditional Pali, fear is bhaya-bherava (lit. Fear-Panic), while anxiety is udhacca-kukucca (lit. Worry-Wrongdoing).

As I understand from the way these are used in suttas,

Fear is defined as an acute sense of danger. It is rather specific, like fear of something coming out of jungle and attacking you. Even if it is uncertain what exactly may happen when you sit in the middle of jungle, fear still has a very clear sense of directionality, there is no expectation that something good may happen, only bad -- otherwise it would not be fear.

Panic is defined as the accompanying sense of helplessness, or sense of our inability to deal with the object of fear.

(More about these two can be found in Dharmafarer's great analysis of Bhaya-Bherava-Sutta.)

While anxiety is defined as either a wavering remorse of something you should or should not have done (kukucca), or a wavering expectation of remorse you suspect you may experience in the future because you are not doing enough of something you feel you should be doing (udhacca). So unlike fear, anxiety involves wavering back-and-forth; there is an element of uncertainty in it. Also, the object of anxiety is yourself, your own acts, while the object of fear is external.

(More about anxiety is also available on Dharmafarer. See also one of my favorite suttas, Second Anuruddha Sutta.)

As explained by Buddha, the recommended way to deal with fear is by switching focus from obsessive waiting for the object of fear to appear, to getting ready to deal with it should that actually happen. While the recommended way to deal with anxiety is by developing one's wisdom, esp. understanding of Dharma, Three Marks of Existence, and (in Mahayana) by deepening one's realization of Emptiness.