The attacked in the Mourne Avenue area of Coalisland this morning, Sunday April 22.
Detective Constable Alan Ford said: “We believe that entry was gained to the property around 4.30am this morning.
“The female occupant, who was in bed at the time, was wakened by the noise.
A man, described as being around 6’ tall and of thin build then slapped her across the face and demanded money.
“He stole the woman’s black handbag which contained cash and personal items. Her wedding ring was also taken and she has been left badly shocked.
“This woman went through a dreadful ordeal.
“We are appealing for anyone who saw a man on foot, acting suspiciously in the area between 4-5 am this morning to get in touch with police on the non-emergency number 101, quoting reference number 433 of 22/4/18.
“Alternatively, information can also be provided to the independent charity Crimestoppers on 0800 555 111 which is 100% anonymous and gives people the power to speak up and stop crime.”