Things kicked off after Morgan tweeted his support for a United Kingdom soap actress' comment that celebrities are trying to make mental health issues fashionable.
The 22-year-old actress wrote: 'Or maybe they have a platform to speak out about it and help get rid of the stigma of mental illness which affects 1 in 4 people in United Kingdom per year. "But we have to be careful mental illness doesn't become like a Gucci handbag".
Turner, who plays Sansa Stark in GOT, criticised his response by arguing that celebrities can provide a platform for mental health discussion. She added that "there is a danger it can become 'fashionable'".
Twitter was soon divided between those backing Morgan's position that some claim to suffer mental illness as a form of attention-seeking, while others were outraged he could be so dismissive of suffering and add to the stigma.
Turner noticed his comment and clapped back-hard.
And Morgan again responded, by accusing her of "foul-mouthed abuse" and asked her 'Do you think abusing people helps their mental health, Ms Turner?'
'But please go ahead and shun them back into silence'.
Great British Bake Off victor Nadiya Hussain, 34, also criticised the comments, writing: "You haven't got a clue". "You are loved and supported", she concluded.