The unnamed woman in Thursday's audience said that by referring to the terrorist organisation as "Islamic" it promotes the affiliation between Muslims and Isis.
Her comments came after a heated discussion among the show's panelists over whether or not Muslims should be more vocal in denouncing the actions of the terrorist group.
She said that the media "should take responsibility for propagating this affiliation between Muslims and Isis", adding that by using the term it "feeds into Islamophobia and alienates Muslims".
When asked by host David Dimbleby what her objection was to the use of the term, she responded: "It's not what you show but how you show it.
"For example I take objection to the fact that we even refer to the terrorist group as Islamic State... if I call myself a zebra, do you then refer to me as a zebra?"
Her comments were met with rapturous applause by the audience and her analogy was also welcomed by many on social media.
Piers Morgan was one of those to praise the woman's comment:
'If I call myself a zebra, do you refer to me as a zebra?'
Great point about Islamic State's right to call themselves Islamic State. #bbcqt— Piers Morgan (@piersmorgan) November 19, 2015
Many other viewers thought she made an excellent point:
Lady is the audience about the media with their generalisations and stereotypes. Well said. Brilliant. Zebra analogy fantastic 👏👏👏 #bbcqt— Sully (@Sulsters_inc) November 19, 2015
"If I call myself a zebra, do you then have to refer to me as a zebra?" - best Audience comment of #BBCQT tonight— Luke_yo (@luke3920) November 20, 2015
The lady at the end was one of the most eloquent, intelligent contributors the programme has ever seen. The zebra point was genius. #bbcqt— Carlos Dagger (@daggercarlos) November 19, 2015
Great point about removing IS' right to relate to themselves to Islam. "Just because I call myself a zebra doesn't mean I am one" #bbcqt— Warren Won (@WarrenHWon) November 19, 2015
ISIS are not an 'Islamic State' so why do we give them the prestige of such a great name - I agree with the 'zebra' point #bbcqt— (F)loyd Smith (@Effstream) November 19, 2015
The zebra woman just bossed it on #bbcqt— Sahil Khan (@Khan_Sahil) November 19, 2015
Others saw the humour in the idea that a "zebra" was on Question Time:
Just my luck that I missed #bbcqt tonight, the one time there was a zebra on— Grace Petrie (@gracepetrie) November 19, 2015
And some even thought they may have seen an "zebra" on the panel.
Who are you calling a zebra? pic.twitter.com/9hhmrEes6Q— MooresGhost (@MooresGhost) November 19, 2015
Earlier in the show, Evening Standard's owner, Evgeny Lebedev, said there should be a "march" of moderate Muslims.
Journalist Mehdi Hasan replied: "That implies that Muslims are especially responsible.
"I have nothing to do with Isis, my daughter has nothing to do with Isis, my 77-year-old father has nothing to do with Isis."