Assuming you dont want to blur your talent—you are going to need to rotoscope her. Separate her from the background, blur the offending sign in the background. 3 layers, top layer is talent, middle layer is blurred, masked sign area only(including person), bottom layer untouched. The trick is the rotoscoping.
What you want to do is EDIT first, or you would effecting material you won’t use. Me, on the top layer, I would do a loose mask around the person, then just feather it. It’s pretty much accepted technique for blurring to have it be somewhat loose.
Johnny Cuevas, Editor
Thinkck.com
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