Consecutive timeout after injury

[ridavis13]

With 9 seconds remaining in the game team A's star player is injured. He has to come out of the game because the coach or trainer is beckoned onto the floor. After the player is removed, Team B asked for a timeout and it is granted. Team A then requested a time to buy their star player back into the game. The timeout is not granted to team A. Should A have been granted a timeout to buy their star player back into the game? Does injury change how we administer consecutive timeouts?