Dyer made her professional screen debut as an extra in the 2006 film The Other Half alongside her father. She also appeared as an extra in other films starring her father, including Doghouse (2009), Run for Your Wife (2012) and Vendetta (2013). The producer of Vendetta stated that she "absolutely blew away" the crew. She then independently appeared in films including We Still Kill the Old Way (2014), Age of Kill (2015) and Bonded by Blood 2 (2017). In 2018, she was announced as a cast member for the ITV2 reality series Survival of the Fittest, but walked from the series on the second day due to dislocating her shoulder. Later that year, she competed in the fourth series of ITV2's Love Island. She won the series alongside Jack Fincham with 79.66% of the final vote. Following their Love Island win, Dyer and Fincham starred in the three-part ITVBe reality series Jack & Dani: Life After Love Island. In 2019, she began appearing as a guest reporter on The One Show, and in 2020, she launched a range of lip products with Vaseline. Later that year, she began co-hosting a podcast with her father, titled Sorted with the Dyers. In June 2021, she made a guest appearance in the BBC soap opera EastEnders as a taxi driver named Jeanette and appeared alongside her father who portrays series regular Mick Carter.
