。
She seemed to like her new job.
Literal
She [topic-は] new job [subject-が] was-pleased-with appeared.
The polite past form ~ようでした ('it seemed') reports an observation from the speaker's perspective. 気に入る ('to take a liking to') takes が for its object, and the ~ている marks an ongoing state of liking. The whole construction places the speaker at a polite distance — observing and reporting rather than asserting.