In a-gharraki, the initial a- is the interrogative hamzah; gharra is a perfect verb and -ki its feminine object suffix. The verb concerns being misled, beguiled, or made overconfident.
The question is not primarily seeking a yes-or-no fact. It functions as reproach, suggesting that the beloved is taking advantage of the poet’s evident attachment. This is a rhetorical use of interrogation beyond simple information-seeking.
Minnī relates the question to the speaker himself, while anna ḥubbaki qātilī supplies the content that might have made the beloved feel secure in her influence.