One of the uses of conditionals is in situations that are <em>not real</em> or are <em>hypothetica</em>l. In this case, the normal way of using the verb to be is altered (it is used were for <em>I, he, she and it</em>) and it is followed by <em>could </em>or <em>would</em>. for example,"If I were you, I wouldn't do this."
The answer is C. Were
If the talented volleyball player <em>were</em> to accept...she could sign...today.