The most common and most likely answer to this crossword clue is the 6 letter word PIQUED
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The straight part
We know that "cross" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case cross = piqued.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 PIQUED mean?
PIQUED verb- To wound the pride of; to excite to anger.
- To take pride in; to pride oneself on.
- To stimulate (a feeling, emotion); to offend by slighting; to excite (someone) to action by causing resentment or jealousy.
- To score a pique against.
- Annoyed, usually mildly and temporarily, especially by an offense to one's pride or honor.