The most common and most likely answer to this crossword clue is the 8 plus 7 letter word ELECTRIC TOASTER
I've seen this crossword clue in The Guardian
E
L
E
C
T
R
I
C
T
O
A
S
T
E
R
Buddy explains!
The straight part
We know that "kitchen appliance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case kitchen appliance = electric toaster.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.