Dear Twitter, there's a gap between your legal and your moral obligations. In that gap your worth is determined. People, including activists and journalists, have been using your service as if they had an unalienable right to post important, controversial, content. You may not have a legal obligation to be neutral (as you've shown in this case you're easily perverted) but if you want to continue to be a valuable resource then you have to act as if your very existence requires you to be the open, transparent, neutral service that you have claimed to be.
If you fail, we will move on. Nothing is forever and your replacement is probably already out there.