Now that she has apologized, I am content.
She stood up, excused herself (ie apologized for leaving) and walked out of the meeting.
She apologized with (a) bad grace.
The day after, he apologized.
The television station apologized for the interference, which was due to bad weather conditions.
He apologized for the inconvenience he had caused.
He apologized for not coming to the party, pleading pressure of work.
I'd shoot myself before I apologized to him!