Bev Craig wants more details from the government on the Manchester Piccadilly project by Christmas.
Part of Alan Turing Way has been closed since March and is expected to stay shut until mid-December.
The project has risen from £330m to almost £525m, with reopening planned for spring 2027.
Pat Karney, who had been receiving treatment for cancer, had sat on Manchester City Council since 1979.
Manchester City Council has made almost £3m from the "super-profits" of Man City-linked developments.
Veteran former council leader Sir Richard Leese says the relationship has been beneficial to the city.
Major work on the city centre space is set to begin in November.
As Manchester welcomes the 28th year of its Christmas Markets, here is everything you need to know.
Carl Austin-Behan is elected with 1,365 votes, ahead of Green candidate Daoud Nawaz on 1,037.
