Look at the motion of Lily Allen's throwing arm in the top photo. She has really great form and I'm sure if she had actually hit anyone with the bottle she threw, it may have caused some damage. Of course, I believe the bottle was plastic, and empty, but it still could have stung.
The reason Lily was working on her pitching and her punching is because a pap allegedly hit Lily's car. Instead of letting her two big bodyguards beat up the pap, Lily decided to go ahead and do it herself. First, she threw the bottle. She then tried to punch the guy, who moved out of the way. Growing frustrated, Lily decided to go ahead and kick him.
It is actually quite funny when you look at the photos. I'm wondering a few things though when I look at the photos. For one thing, if Lily is so damn poor, and she says she sold off her car, then how does she now have a new car and two bodyguards to travel with her? Bodyguards are not cheap. Plus, why does she need bodyguards? You might say for incidents just like this one. I would agree except for one thing. They are not doing anything. They pulled Lily off the pap. Other than that they didn't get involved. Why pay them if they are not going to give the guy a beating for hitting Lily's car? Oh, because they kept their calm unlike Lily.
Now, if she gets arrested she will probably get her work visa yanked, so she won't come play concerts here and her album sales will suffer and she will become even more poor and have to make do with just one bodyguard. See? The recession even affects bodyguards. Oh, and think of all the people who were going to work a shift at the concert venues she could have played here if she had kept her cool. The concession stand workers, the security guys. The ushers and ticket takers. What about parking lots attendants and valets. Don't forget the waiters and waitresses and cooks of the bars and restaurants people would have gone to before and after each show. With losing her temper, Lily has basically just added to the misery of the recession.