Originally from Delhi, Ms Sharma, 25, only recently moved to Hyderabad.
In a post widely-shared on Facebook, she detailed what happened and attached a screenshot from the Uber app.
You can read her full post below:
The incident took place at 7.30 am on October 19, said Ms Sharma to NDTV.
"...I choose to speak up and I won't stop until #UberIndia takes responsibility for their non-existent driver verification and complete disregard for their passengers safety," wrote Ms Sharma in her post that has been shared over 400 times on Facebook.
Ms Sharma also wrote that Uber India confirmed that the driver had been fired, but offered no other updates.
"Uber's response in terms of this incident has been pretty generic- they've fired the guy, apologized etc. But there's no update on how they're looking to solve for this," she said to NDTV.
"The Uber app displayed the driver's name only as B that day, which they confirmed needs to be fixed. The fact that their platform has no vehicle/driver info post the trip is also something to be looked at," she added.
Only a few days ago, Internet star Mallika Dua had blasted Uber India along similar lines for their inadequate customer care. Click for more trending news
Get the latest election news, live updates and election schedule for Lok Sabha Elections 2019 on ndtv.com/elections. Like us on Facebook or follow us on Twitter and Instagram for updates from each of the 543 parliamentary seats for the 2019 Indian general elections.