The most common and most likely answer to this crossword clue is the 7 letter word UNASKED
I've seen this crossword clue in Financial Times
U
N
A
S
K
E
D
More clues leading to the result UNASKED
Buddy explains!

The straight part
We know that "not invited" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case not invited = unasked.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 UNASKED mean?
UNASKED adjective- Not asked about.