'It doesn't make us special'
An LNP councillor, Fiona Cunningham, is also expecting a baby in the new year, but said she "didn't share" Cr Cook's concerns and is opting to take leave after giving birth.
"I'm also having a caesarean — it doesn't make us special — thousands of women do this every day," Cr Cunningham said.
"Hybrid meetings would not work for me … I'm taking that time to spend with my baby."
Cr Cunningham said Cr Cook was not being "locked out" of any political process.
"She can listen in, she also has other colleagues in the chamber who can represent her views and who can represent her constituents," she said.
"This is not locking her out … and it's ridiculous to say that it is."