The most common and most likely answer to this crossword clue is the 6 letter word BRIDLE
I've seen this crossword clue in The Guardian
B
R
I
D
L
E
More clues leading to the result BRIDLE
- What can go with a bit of the match broadcast
- Feel anger for one half of match, we hear?
- It sounds like woman getting married will show indignation
- Show signs of annoyance in bedroom — useless?
- Check line penned by newly- wed?
- Leading gear for Arab wedding, we’re told
- Check on unemployed brother
- Take offence with headgear
- There’s a bit in such that concerns woman in union, we hear
- Married woman embracing lecturer for more than a bit
Buddy explains!

The straight part
We know that "Show signs of annoyance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case show signs of annoyance = bridle.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 BRIDLE mean?
BRIDLE noun- The headgear with which a horse is directed and which carries a bit and reins.
- A restraint; a curb; a check.
- A length of line or cable attached to two parts of something to spread the force of a pull, as the rigging on a kite for attaching line.
- A mooring hawser.
- A piece in the interior of a gunlock which holds in place the tumbler, sear, etc.
- A gesture expressing pride or vanity.
- To put a bridle on.
- To check, restrain, or control with, or as if with, a bridle; as in bridle your tongue.
- To show hostility or resentment.
- To hold up one's head proudly or affectedly.