The most common and most likely answer to this crossword clue is the 10 letter word EASY-GOING
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More clues leading to the result EASY-GOING
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 = easy-going.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 EASY-GOING mean?
EASY-GOING adjective- (of a person) calm, relaxed, casual and informal
- (of a journey or pace) unhurried