。
She strove to fulfill her duty.
Literal
She [topic-は] her own duty [object-を] fulfill [intent-と] strove.
義務を果たす ('to fulfill / discharge a duty') is the standard collocation; 果たす ('to fulfill, accomplish, carry out') pairs with abstract obligations, roles, and promises. ~ようと努める is the formal pattern for 'strive / make an effort to do X' — the volitional ~ようと marks the intended action, と quotes the intention, and 努める ('to make efforts toward') closes it. Belongs to the register of moral or professional duty, not casual self-effort.