First daughter is educated about the right but is terribly upset (10)
I believe the answer is:
distraught
'terribly upset' is the definition.
'distraught' can be an answer for 'upset' (thesaurus). I am not certain of the 'terribly' bit.
'first daughter is educated about the right but' is the wordplay.
'first daughter' becomes 'd' (rst letter of 'daughter').
'educated' becomes 'taught' (similar in meaning).
'about' means one lot of letters goes inside another.
'the right but' becomes 'r' (I can't explain this - if you can you should believe this answer much more).
'taught' placed around 'r' is 'traught'.
'd'+'is'+'traught'='DISTRAUGHT'
'is' acts as a link.
Can you help me to learn more?
(Other definitions for distraught that I've seen before include "At one's wits - end" , "Deeply agitated" , "Grief-stricken" , "in a state" , "Having got the wind up" .)