The most common and most likely answer to this crossword clue is the 7 letter word BLOW-UP
B
L
O
W
-
U
P
Buddy explains!

The straight part
We know that "Outburst of anger that may become inflated" is the straight/definition part of the clue. The straight part is often a synonym or definition, in this case outburst of anger that may become inflated = blow-up.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 BLOW-UP mean?
BLOW-UP noun- An explosion (physical or emotional).
- An enlargement (e.g. of a photograph).
- Inflatable; able to be blown up.