Edit: I watched the video. The moderator goes on and on and the "let her speak please" sounds very polite. This is a painfully frustrating reminder that women get talked over by men. It's one thing to have one panelist talk over another, but to have the moderator, who is explicitly in charge of facilitating a panel discussion, be the one to drown out a panelist is just unacceptable. Yes, "not all men" do this, but th…
Leaders, make an effort to listen and clear the air for others to speak up. Don't beat them up if they don't articulate brilliantly right away -- it takes practice. You'll be surprised at the rate of improvement.
For individuals, I use this trick when people cut me off AND it's unjustified: saying "hang on, let me finish" and then driving my point aggressively. It has mostly worked though I am male.