Emma Mhic Mhathuna has died from cervical cancer at the age of 37.
The mother of five was diagnosed with the disease in 2016, having received two incorrect smear results.
In May, she settled her case in the High court against the HSE and the US laboratory, Quest Diagnostics for 7.5 million euro.
Quest admitted to misreading two cervical smear tests in 2010 and 2013.
The HSE admitted liability for not disclosing the findings of the CervicalCheck audit.
Minister Simon Coveny says Ms Mhic Mhathuna was an inspiration.
Very sad news today. Emma Mhic Mhathúna's bravery in the face of so much tragedy has inspired many people. Her legacy and strength will impact on cancer healthcare for the better. Our thoughts and prayers are with her family and 5 children. Rest In Peace.— Simon Coveney (@simoncoveney) October 7, 2018