Both Uses

resignation
in
The Key, by Eudora Welty
(Auto-generated)

The woman looked resigned for a moment to hopelessness.
*

resigned = as though she had accepted something undesired as unavoidable
He stood back, a peculiar flash of interest or of something more inscrutable, like resignation, in his lowered eyes.†

Definitions:

(1) (resignation as in: submitted her resignation)
to quit -- especially a job or position; or a document expressing such an act
(2) (resignation as in: accepted it with resignation)
acceptance of something undesired as unavoidable or the lesser of evils
(3) (meaning too rare to warrant focus)
To resign can also more specifically mean to surrender or give up as in "I was clearly going to lose the chess game, so I resigned;" or "She resigned all pretense."