Opening a door frustrated and rushing in like you are about to scold someone inside... Barging in a room with anger. Is there a word or idiom for that, other than storm in?
Charged into the room
: to rush forward in or as if in assault : attack; also : to charge an opponent in sports
A couple of examples
UNCONTROLLABLE anger surged through Wilson as he charged into the room.
Google Books: Crimson Moon by Rebecca York
'Wayward and contrary!' Gwenhwyvar cried. 'Easily given to despair!' She charged into the room and planted herself before us, fists on hips. 'Gwenhwyvar,' Arthur said, somewhat startled. 'I thought you were asleep.' 'Listen to the both of you,' she scolded. 'I will tell you what troubles me, shall I? You haughty Britons think you are the only men alive who know how to throw a spear.'
Google Books: Pendragon By Sahın Akbulut
You can consider flounce into.
Go or move in an exaggeratedly impatient or angry manner
But the strongest sense of anger can be conveyed with explode into.
Again the door burst open and again it slammed against the wall. A genuinely angry President exploded into the room...
Madame President by Wee Dilts
You could say the person went ballistic.
to be extremely and uncontrollable [sic] furious
Fred went ballistic, and managed to punch 5 holes in the wall, in addition to throwing a microwave halfway across his house.
I'd say the idiom muscle in.
Forcibly intrude on or interfere with something, as in The children were determined not to allow the school bully to muscle in. [Colloquial; 1920s] (Free Dictionary)
Perhaps the informal idiom: "Bust the door down" or "Bust the door open." In this context, "bust" is used informally for the word "break". Depending on the context, this idiom can suggest a violent disposition towards whomever is "behind the door", either actually or metaphorically. "I will bust the door down to get answers."