Free-willed and self-willed are not generally the same thing. A free will is free to choose, where as a self-will has already chosen (self). Adam was created with a “free will” in that he was at liberty to determine the target of his faith. Faith in the "word of God" would have dismissed the wiles of the serpent. However, he elected to trust the words of the serpent: “be as gods, knowing good and evil” (Genesis 3:5).
The Greek word “authadēs” (Strongs G829), translated as “self-willed” appears twice in the Bible, both times in reference to those that would not subject to the will of God.
Titus 1:7 For a bishop must be blameless, as the steward of God; not selfwilled, G829 not soon angry, not given to wine, no striker, not given to filthy lucre
2 Peter 2:10 But chiefly them that walk after the flesh in the lust of uncleanness, and despise government. Presumptuous are they, selfwilled, G829 they are not afraid to speak evil of dignities
Paul in Galatians 2:20 makes this distinction:
I am crucified with Christ: nevertheless I live; yet not I, but Christ liveth in me: and the life which I now live in the flesh I live by the faith of the Son of God, who loved me, and gave himself for me
Therefore bishops like everyone else have “free will, but they like everyone else are not to be self-willed, but rather subject to God's will!