Queensland Deputy Premier Jackie Trad has told constituents she will "advocate strongly" on behalf of those who chose not to head to a polling booth last weekend over health concerns.

During a Facebook Live Q&A session for members of her South Brisbane electorate, Ms Trad addressed the question of why the local government elections went ahead, and she conceded that the government "could have done things better" in the unprecedented circumstances.

Deputy Premier Jackie Trad says she will advocate for anyone who failed to vote last weekend because of health concerns. Credit:Glenn Hunt/AAP

"I know that this is something that has been also the subject of a lot of concern in the community and a lot of debate in the community," she said on Wednesday night.

"Anyone out there in my community who chose not to vote out of health reasons – and I did speak to a number of people on the actual day – please contact my office if you are fearful of getting a fine for not voting.