Lucy Bond, aged 37, was last seen by a friend in St Anns, Nottingham, on the morning of Wednesday, June 8.
Officers are becoming concerned for her safety and are urging anyone who has seen Lucy or knows where she is, to get in touch.
Although last seen in Nottingham, Lucy has links with South Yorkshire.
She is white, about 4ft 11ins tall and of a small build, with brown, shoulder-length hair.
Call Nottinghamshire Police on 101 quoting incident 668 of June 11.