The most common and most likely answer to this crossword clue is the 8 letter word TOREADOR
I've seen this crossword clue in The Daily Telegraph
T
O
R
E
A
D
O
R
More clues leading to the result TOREADOR
- With intention of studying, or becoming bullfighter
- Perhaps bully boy ripped end off ornament
- Reissued order to a fighter in the ring
- Fighter to study the alternative
- Fighter’s gashed? A doctor’s brought round ring
- Order to a dizzy ring fighter
- Partially restore a dormitory for foreign competitor
- Strange order to a fighter in ring
- Entertaining rider runs in at rodeo, bucking
- Fighter in Carmen hurried, having met love briefly
Buddy explains!

The straight part
We know that "Fighter in Carmen" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case fighter in carmen = toreador.The cryptic/wordplay part
In cryptic crossword there's often an wordplay/cryptic part as well.This part involves a more complex hint, such as an anagram, homophone, hidden word, etc.
Sadly, We don't have an explanation for this specific crossword clue yet.
What does TOREADOR mean?
TOREADOR noun- A bullfighter, especially one on horseback.