Yes, you will need to purchase an external DVD drive as suggested above. However, that means whenever your daughter wants to play the Sims 4 she will need the DVD drive to be connected with the Sims 4 DVD in it. It is a form of copy protection to ensure that the game is not an illegal copy.
If you have not opened the Sims 4 box yet, then I recommend you return the game for a refund. If the box has been opened then that is no longer an option. The reason why I suggest you return it is because EA (the publisher) allows you to purchase the game online in their Origins Store which means an external DVD drive is unnecessary; they even allow you to try the game for 48 hours (2 days) before you need to purchase it; "Get Trial" button. There...