Are you aware of the difference between impeccability and infallibility?
See below. If you are not impeccable, you cannot be infallible.
im-pec-ca-ble
[im-pek-uh-buh l] Spell Syllables
adjective
1. faultless; flawless; irreproachable:
“impeccable manners.”
2. not liable to sin; incapable of sin.
in-fal-li-ble
[in-fal-uh-buh l] Spell Syllables
adjective
1. absolutely trustworthy or sure:
“an infallible rule.”
2.unfailing in effectiveness or operation; certain:
“an infallible remedy.”
3.not fallible; exempt from liability to error, as persons, their judgment, or pronouncements:
“an infallible principle.”
4.Roman Catholic Church. immune from fallacy or liability to error in expounding matters of faith or morals by virtue of the promise made by Christ to the Church.