The correct option is 'studied'.
The sentence refers to an action that was completed in the past ('5 years ago'). Therefore, we need to use the Past Simple tense.
'Did study' is grammatically correct, but it is usually used for emphasis or in questions. In this case, it is not the most natural choice.
'Studyed' is not a correct word.
'Studies' is the present simple tense, which is not appropriate for an action in the past.
So, the correct sentence is: Susan studied French at school 5 years ago.