That definitely looks bad. However I do have a question. Should the first baseman have been standing there? Had the ball not been caught, I do not see where she had a play on the force unless the batter-runner was walking.
Here is why I ask. Trying to get my players to adopt the attitude of hustling out everything I tell them "when you know you skied a ball, try to see if you can get to second base before it comes down". Not a single day went by from the time I said that we had a girl hit a very high pop up to second base. Second baseman dropped it and my player went sliding into second safe.
Now watch that video one more time with that thought in mind. Clearly the batter was rounding as though to continue on to second base. I have seen plays where a player ran in a straight line toward the first baseman and threw an elbow - the player in this video does not do that.