Choudary proclaims that he disagrees with the entire focus of the segment, and argues that the notions of moderate Islam or extremist Islam are nonsense. There is only Islam, whose followers "submit to the creator." Then, in an effort to convey that Islam can live in peace with the Western world, he concludes, "We do believe as Muslims that the east and the west will one day be governed by the Sharia. Indeed we believe that one day the flag of Islam will fly over the White House."
It is obvious that his statements reinforce what some Christian panel guests believe to be the truth, and that those statements certainly don't support the notion of peaceful and tolerant Islam.
So a Muslim woman in the panel decided to take Choudary to task for his reckless and inflammatory statements, and she went on to instruct him that Islam is a faith of pluralism, and that it provides an allowance of other faiths to exist in a state of equal importance.
Had she been speaking to the panel's Christian reverend in that moment, she likely could have won the argument just as she has probably won countless others; by merely saying, "I know better than you Christians do about Islam. I'm a Muslim." But my guess is that she forgot that she was speaking with someone who had given far more study to the Quran and Hadith than most Christian theologians.
To her assumption of Islamic tolerance of other faiths and legal systems, Choudary simply suggests that she knows nothing of what Islam desires or requires; she doesn't even have the good sense to cover herself. Doesn't she know that the Quran forbids her appearance in that way? So in his eyes, she is not truly a Muslim, as true Muslims are not granted the liberty to sift through Islamic doctrine and select their preferred methods of religious practice. He even makes the comparison that she is a Muslim in the same way that a person who occasionally eats beef burgers is a vegetarian.
And she cannot argue. The holy book of her faith does explicitly forbid women to present themselves as she does.