。
She seemed to like her new ring.
Literal
She [topic-は] new ring [subject-が] pleased-with appeared.
Several layers combine here. 気に入る (きにいる, 'to take a liking to, to be pleased with') takes its object with が. The ~ている form marks the ongoing state of liking. And ~ようであった is the formal/literary past form of ~ようだ ('seems, appears'), giving the sentence a narrative, observational tone — the speaker is reporting what they observed from the outside.