Between 10pm on Wednesday and 7am yesterday, paint was poured through the letterbox of the victim's front door in Malvern Road, Southsea.
The words 'Irish F Q' were daubed on the front door in paint, a television set was dumped on the front step and more paint poured over it.
The offender also cut the heads off flowers planted in pots outside the woman's front door.
Anyone with information should contact PC Hannah Buckley at Southsea station on 101.
Portsmouth News