Hearing of her father's sudden death, she was filled with deep sadness.
Literal
She [topic-は] father's sudden-death [object-を] heard [then-て] deep sadness [with-に] was-filled.
急死 ('sudden death') and 悲しみに満たされた ('was filled with sadness') are both literary expressions. The passive 満たされた (from 満たす, 'to fill') adds a sense of being overwhelmed.