She said: “It is an honour to be selected as your SNP candidate for this council by-election and if elected I intend to make a difference for you in this ward.
“I have a strong work ethic and social conscience and I understand personally how it feels to balance your budget in an economic downturn.
“As your councillor I will be visible and available to work on your behalf and I will focus on the issues and worries that concern you. I endeavour to be effective rather than being just a figurehead that appears only at election time.”
The Lib Dems say the seat is a straight fight between themselves and Labour.
Mr Baillie, who missed out on re-election last May by just 17 votes, said: “I am excited by the challenge of the by election and the opportunity to get the support of local people to return to the council.
“Liberal Democrats have a strong record of action on local issues, and I am keen to get stuck in on behalf of the communities in Rutherglen South.”
The by-election takes place on February 14. The new councillor will be elected using the STV method meaning the person with the most first-choice votes could still miss out.