He was arrested at about 5am yesterday, after police found the victim deceased at a property in Caradoc View at about 6.40pm the previous evening.
The man was interviewed and was this evening charged with murder and remanded in custody. He is due to appear before Shrewsbury Magistrate’s Court tomorrow morning.
A post mortem was carried out on the victim, who is in her 50s, today but formal identification is yet to take place.
Detective Chief Inspector Steve Tonks, who is now leading the investigation, renewed appeals for anyone who may have seen or heard suspicious activity in the Caradoc View area between about 9am and 3pm on Tuesday to get in touch.
Information can be passed directly to police on 0300 333 3000 or anonymously to the charity Crimestoppers on 0800 555 111.