I vaguely remember something in chat about how the Twisted Patron giving turns of Backed Down from an attack in combat, but checking all known technique forms that she uses, I cannot find that. Also - the theory that you lose turns of Backed Down if you go back and kill her, and that does not seem to be true.
(I do have blackened eyes and 25 Will, if that matters.)
EDIT: Penguinpyro adds: Losing Backed Down happens only if I defeat her in a choice encounter, and it's not consistent, so it may be different for etheric/sober and before/after tiger…
For Etheric choice encounter/ before tiger, I did NOT lose it.