The most common and most likely answer to this crossword clue is the 6 letter word RESTED
I've seen this crossword clue in Financial Times
R
E
S
T
E
D
More clues leading to the result RESTED
Buddy explains!

The straight part
We know that "Relaxed" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case relaxed = rested.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 RESTED mean?
RESTED verb- To cease from action, motion, work, or performance of any kind; stop; desist; be without motion.
- To come to a pause or an end; end.
- To be free from that which harasses or disturbs; be quiet or still; be undisturbed.
- To be or to put into a state of rest.
- To stay, remain, be situated.
- To lean, lie, or lay.
- To complete one's active advocacy in a trial or other proceeding, and thus to wait for the outcome (however, one is still generally available to answer questions, etc.)
- To sleep; slumber.
- To lie dormant.
- To sleep the final sleep; sleep in death; die; be dead.
- To rely or depend on.
- To be satisfied; to acquiesce.
- To remain.
- To arrest.
- (usually with "well") recovered