According to GrammarBook.com, "the placement of question marks with quotation marks follows logic. If a question is within the quoted material, a question mark should be placed inside the quotation marks."
She asked, "Will you still be my friend?" is correct. However, do we need a period after closing the quotation?
"Will you still be my friend?". No, I will not.
"Will you still be my friend?" No, I will not.
Do you agree with the saying, "All's fair in love and war"? I know we don't need a period for this sentence because the question mark needs to be on the outside, but I'm not sure about the previous example.