Running our of players

[harmbu]

This situation occured in a game using FED rules. Visiting team has ten players listed on their lineup card (9 starters, 1 substitute, no DH). A player from this team is hit in the head by a pitch and has to leave the game. It turns out that the player listed as a substitute is not at the game at the time of the injury. The team has no legal substitute to pinch run for the injured player. Is the injured player declared out at this time? Before the visiting team finishes their turn at bat, the substitute arrives at the game. Can this player be put into the game at this point? Or is the time of the injury the only chance for the team to enter a substitute. Thanks in advance for your help.