The most common and most likely answer to this crossword clue is the 6 letter word RESENT
I've seen this crossword clue in The Times
R
E
S
E
N
T
More clues leading to the result RESENT
- Dislike Sterne novel
- Consider an affront to be given another errand
- Feel bitter about unopened gift
- Feel aggrieved at being powerless here
- Begrudge gift, heading off
- . Take exception to host losing head
- Object to being given errand, not for the first time
- Object to nurse cutting break
- Take exception to topless show
- Bear grudge, having posted again
Buddy explains!

The straight part
We know that "Begrudge" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case begrudge = resent.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 RESENT mean?
RESENT verb- To feel resentment over; to consider as an affront.
- To express displeasure or indignation at.
- To be sensible of; to feel.
- In a positive sense, to take well; to receive with satisfaction.
- To recognize; to perceive, especially as if by smelling; -- associated in meaning with sent, the older spelling of scent, to smell. See resent (intransitive verb).
- To give forth an odor; to smell; to savor.
- To send again.
- To send back.
- To forward (something received), especially a message.