turn on (one's) heel
To suddenly leave or depart. After walking in on an obviously private conversation, I turned on my heel and stepped right back out of the room. Several high-profile sponsors have turned on their heels following the athlete's controversial statements.
turn on your heel
turn sharply round.ˌturn/ˌspin on your ˈheel
suddenly turn around and leave, often because you are angry or annoyed: Quite unexpectedly he turned on his heel and walked out of the door.