。
She devoted her time to studying music.
Literal
She [topic-は] music research [to-に] time [object-を] devoted.
捧げる ('to offer up, to dedicate, to devote') has a slightly elevated, ceremonial flavor — it's the same verb used in religious offerings, dedications of books, and lifelong commitments. The frame ~に~を捧げる ('devote X to Y') marks the recipient with に and what is dedicated with を. Pairing it with 時間 makes the act feel weightier than ordinary 'spending time on'; the implication is sacrificial commitment, not casual investment.