The storyline, which has developed over the past two-and-a-half years, documents the mental cruelty inflicted by one of the show’s characters, Rob Titchener, on his wife Helen.
The story reached a peak on Sunday when Helen stabbed Rob after he tried to prevent her leaving the family home.
Inspired by the storyline, a fan of the show, Paul Trueman, set up a JustGiving page called the Helen Titchener (née Archer) Rescue Fund to raise money for Refuge.
The page, which was set up two months ago, broke the £100,000 mark on Tuesday and had passed £104,000 today.
The page calls on fans to "do something constructive and think of all the women who are genuinely stuck in relationships like this – and much, much worse".
Sandra Horley, chief executive of Refuge, said in a statement that the money raised by the page so far was a tremendous achievement.
"The dramatic twist in Sunday evening’s episode led to a huge spike in donations, and it is testament to the scriptwriters’ skill in portraying a desperate woman driven to a desperate act that so many felt compelled to give," she said.
"The real-time approach the writers have taken to showing how an abuser controls and confuses his partner over time is incredibly powerful – and sadly all too accurate. Sunday’s episode was a realistic portrayal of how a victim of prolonged abuse might one day respond when she is in great danger.
"Talking about domestic violence is still taboo, and the storyline has given Refuge a brilliant opportunity to raise awareness, reaching women who might be experiencing the same kind of abuse as Helen Titchener."