Paige, 27, who works for the ambulance service, said her “anxiety levels are definitely through the roof” when she leaves her dogs at home in the day.
“If there is a flood warning and our dogs are in the house it terrifies us because we both travel over an hour to and from work,” she said.
“Other people in the street they have kids, grandkids, so it’s a lot more difficult for them.”
Council officials have recommended the council acquires numbers 1-16 on Clydach Terrace, which would include incidental costs, relocation assistance and legal fees.
Numbers 6a and 6b Clydach Terrace are in an elevated position from the road and not at high risk of flooding, so have been excluded from the proposal.
A wall currently separates the Nant Clydach tributary from the street, but the environment body, Natural Resources Wales, said building a raised flood defence wall was “not economically viable”.
The cabinet report said that during Storm Dennis and Storm Bert much of the pavement and highway was under water and there was extensive damage to the properties.
It said residents had difficulty obtaining insurance because of high costs, and that there was a significant risk to health and danger to life in the area.
Paige said: “I’m hoping that they will buy us out, it’s the only option unfortunately and the best option”.
“It will just take the anxiousness away from every storm, every winter – even when it rains the anxiety levels are through the roof,” she said.