She hinted that she might study abroad.

Literal

She [topic-は] study-abroad do [might-かもしれない] [quotative-と] hinted.

ほのめかす (仄めかす, 'to hint, suggest indirectly') is a literary verb. The embedded clause 留学するかもしれない is marked with と as quoted content. The sentence captures the Japanese preference for indirect communication.