Fed up with the action taken, the 33-year-old took to Twitter to share images of her text exchange with the driver and company.
The tweet quickly gained traction, with many other women saying that had experienced something similar.
Midwinter said she has since received a phone call from the managing director of JustEat and they had a very long chat about the situation.
"They are indeed accepting responsibility and are deeply apologetic about the way this was initially handled and it has 'shaken them to the core'. We spoke about the big changes there will be and how these will be implemented," she said.
"I believe they are taking this extremely seriously and I hope this will pave the way for national changes to the way our data is protected, and more importantly how females are protected."
The Information Commissioner's Office — an independent British authority tasked with protecting the personal data of the public — also weighed in on the issue after catching wind of the story and said it would be investigating further.