One with no degree of theatre work in Tudor plays (7)
I believe the answer is:
dropout
'one with no degree' is the definition.
'theatre work in tudor plays' is the wordplay.
'theatre work' becomes 'op' (abbreviation for opus).
'in' means one lot of letters goes inside another.
'plays' is an anagram indicator.
'tudor' is an anagram of 'drout'.
'op' placed within 'drout' is 'DROPOUT'.
'of' acts as a link.
(Other definitions for dropout that I've seen before include "Free spirit" , "Person with alternative lifestyle" , "Cease to participate" , "Student who fails to complete a college course" , "Withdraw; rugby kick" .)