Juliet's dad put Alec straight (7)
I believe the answer is:
capulet
'juliet's' is the definition.
(Juliet is a member of the Capulet family)
'put alec straight' is the wordplay.
'straight' is an anagram indicator.
'put'+'alec'='putalec'
'putalec' anagrammed gives 'CAPULET'.
'dad' acts as a link.
I am not very happy about this link. It may be part of another bit of the clue.
Can you help me to learn more?
(Other definitions for capulet that I've seen before include "Family in play" , "Veronese family name" , "Will's family" , "Shakespeare's Juliet's family name" , "Verona family" .)