The correct answer is 'has always been'.
Here's why:
* Sue has always been interested in English. This sentence uses the present perfect continuous tense, which is appropriate to describe something that started in the past and continues to be true in the present.
Let's look at why the other options are incorrect:
* have always been: 'Have' is used with plural subjects. 'Sue' is singular.
* always were: 'Were' is the past tense plural form of 'to be', and doesn't fit with 'Sue'.
* always was: While grammatically correct with 'Sue', it doesn't fit in terms of the meaning or the continuous interest implied.
Therefore, the best option is:
* has always been