Resigned means accepting something unpleasant because fighting it is pointless. Not agreement — surrender without bitterness.
It takes to, so resigned to the delay or resigned to his fate. The word describes a settled state rather than a decision, and a resigned sigh is one of the standard gestures of British life. There is a completely separate meaning from resigning a job, which is an action rather than an attitude, and only context tells you which of the two you are reading.
1adjectiveresignedAccepting something unpleasant that cannot be changed.
“She seemed resigned to spending the day in the queue.”