The former Dr Who star plays a prostitute in the graphic new series, which involves engaging in some risque activities and appearing frequently in raunchy outfits.
And while the thought of their father watching them in scenes of a sexual nature might be embarrassing for any young actress, Billie admits that her dad's profession makes the predicament even more cringe-worthy.
She explained: 'Dad’s a builder. He goes to pubs and building sites and I can just imagine some of the comments he's going to get when the guys he associates with see me in my underwear on TV.
'So here's an apology in advance, Dad. I just hope it's not too difficult for you. I hope the guys are kind to you and don't give you too much stick!'
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