But in order to take home the prize, Daisy will also have to beat Michelle Keegan and "Vera" star Brenda Blethyn.
Her co-star Paul Mescal, who starred as her love interest Connell in the TV adaptation of Sally Rooney's beloved book, is up for the Best Actor prize, but again faces tough competition - from David Tennant, Martin Clunes, and Stephen McGann.
In addition, "Normal People" has also been nominated for Best New Drama alongside "Gangs of London", "Gentleman Jack", and "White House Farm".
And "Doctor Who" will battle it out for the Best Family Drama award against "Call the Midwife", "Doc Martin", and "Casualty".
The 2020 TV Choice Awards are set to take place on 9 September (20), and voting is open from now until 17 July, with viewers encouraged to visit TV Choice to pick their winners