Dr Mos-Shogbamimu - who was praised for her straight-talking This Morning interview on Monday - took Morgan to task on his own attitudes to Meghan and Prince Harry.
The presenter had asked her: “Where is this racism that you keep talking about?
“Where are the ghastly tabloids which you say have been driving this racist agenda against a woman who was lorded and welcomed?”
Dr Mos-Shogbamimu hit back: “If you’d paid attention to the interviews I’ve done then you would have had the answer.
“That is an incredibly obtuse question to keep asking.”
Taking aim at the presenter, she continued: “Let me tell you what’s so offensive about this Piers, especially with you.
“You are a man, privileged to have power and influence and you are using your platform so irresponsibly to spout out this personal vendetta with nasty and vile comments knowing fully well that your words are containing bigotry, misogyny, sexism and racism.”
Adding that Morgan “does not take responsibility for how you have contributed to the so-called royal crisis”, she continued: “So when you ask me where is racism, it is not my job teach you about racism.
“It’s the fact you can’t see it because of your privilege. It is not my job to educate you Mr Morgan but you refuse to get educated.”
Since the latest royal family drama kicked off, Morgan has slammed the Duke and Duchess of Sussex - often singling out Meghan - on numerous occasions.
During Monday’s GMB, he called the couple “spoilt brats” and accused Meghan of “quit[ting] everything”.
The presenter previously considered himself a friend of the former actress having once been out for a drink with her when she was visiting the UK.
However, when Meghan's relationship with Harry became public, he was dismayed to find she did not contact him anymore.
Good Morning Britain airs on weekdays at 6am.