。
She looks like she's possessed by an evil spirit.
Literal
She [topic-は] evil-spirit [by-に] is-being-possessed [appears-as if-ように-見える].
悪霊 ('evil spirit, vengeful ghost') is a fixed term from Buddhist and folk-religious traditions — distinct from 悪魔 ('demon, devil,' more Christian-influenced). 取りつかれる is the passive of 取りつく ('cling to, latch onto, possess'); supernatural possession is conventionally rendered as a passive in Japanese — the spirit clings, the host is the recipient. ~ように見える adds the visual modality 'looks as if,' giving the sentence cautious distance — the speaker isn't asserting actual possession.