The shock of her father's death lingered, and she had no energy to go out.
Literal
Father's death's shock [subject-が] aftermath pulling, she [topic-は] go-out do motivation [subject-が] was-not.
後を引く is an idiom meaning 'to linger / to drag on' — literally 'to pull the aftermath.' 気力がない = 'no energy/willpower.' The sentence links a lingering emotional state to its practical consequence.