The most common and most likely answer to this crossword clue is the 4 plus 3 plus 4 plus 4 letter word REAR ITS UGLY HEAD
I've seen this crossword clue in The Guardian
R
E
A
R
I
T
S
U
G
L
Y
H
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A
D
Buddy explains!

The straight part
We know that "Make unwelcome appearance/Make unwelcome appearance" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case make unwelcome appearance/make unwelcome appearance = rear its ugly head.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.