When does player officially leave the game

[strike4]

Team has 9 players to start the game. Player gets hurt as BR when she is called out. She does not play on defense for 2 innings. When her next time at bat comes up, she bats. Since the team only had 9 players, she was never replaced by a substitute and the team played defense with 8 players.

Question: Did she officially leave the game when she got hurt and re-entered to bat, or was she still officially in the game even though she did not play defense? Remember, she never missed a time at bat.