Mrs Leonard also called for greater availability of services to help victims.
“It sits with them to set the strategic vision, but also to provide the investment into the services on the ground that make the practical difference, to be able to have 24 hour response, helplines and residential places for safety,” she said.
“If I think of my cousin I think of someone who would not have been perceived of someone who would’ve been at risk, we need to have a better sense of that it can happen within any age group, race, culture and creed.
“We have to recognise that this can happen to any person.”
Following the murders on Wednesday, the Health Minister Mike Nesbitt and the Justice Minister Naomi Long issued a joint statement saying: “We are horrified and heartbroken to learn of the tragedy that has occurred in Maguiresbridge.
“We send our deepest sympathies to the families affected and to the wider community in County Fermanagh,” they said.
“The shock of this terrible event is being felt by many people and we would urge those in need of support to reach out to services provided within the Health and Social Care system, and in the voluntary and community sector.”