Dr McFarlane began posting about Ms Wilson's case earlier this year, claiming his son was the victim of a miscarriage of justice.
He said Ms Wilson threatened, blackmailed and abused his son.
He also posted screenshots of private and sexual conversations between his son and Ms Wilson.
Daniel McFarlane attacked Ms Wilson between December 2017 and February 2018 when he was a medical student at the University of Glasgow.
He was found guilty of two rape charges and sentenced to five years in prison in July 2022.
His conviction was secured, in part, because Ms Wilson had covertly recorded a conversation she had with McFarlane, in which he admits to raping her.
McFarlane tells Ms Wilson: "I feel good knowing I am not in prison."
His father, Dr McFarlane, began tweeting about the case earlier this year and was reported to the GMC for his conduct in July.
The following month, Sandy Brindley, the chief executive of Rape Crisis Scotland, wrote to the GMC, saying Dr McFarlane was causing "a great deal of distress" to Ms Wilson, "who finds herself constantly worried about what he may post next".
Ms Brindley asked the GMC to "urgently investigate" the GP's ability to practise medicine in light of "deeply troubling behaviour".
She argued that the GP's posts were "abusive" and "particularly concerning" coming from someone whose profession "relies on their ability to handle patient information sensitively".
She said: "Given the content and volume of his online posts, we are particularly concerned about the potential for Dr McFarlane to cause harm or distress to any patients who may have experienced sexual violence or domestic abuse themselves."