Augimeri said that she had been approached to run for Speaker by some fellow council members.
"I allowed my name to stand to see what support we could rally and in the end, we rallied 19 votes," Augimeri said Wednesday morning, when speaking with reporters. "That is not enough, of course, to win."
There are 44 councillors in total, in addition to the mayor.
Augimeri said that she made up her mind on Wednesday morning not to fight for the Speaker position. Instead, she stood and was elected to be the chair of North York Community Council.
Mayor John Tory wants Coun. Frances Nunziata to continue in the role she held under former mayor Rob Ford.
When council elected to strip Ford of some of his powers in November last year, Nunziata was one of six members the former mayor said he could still trust.
Augimeri said the mayor's office has made it clear things will be different this time around.
"In the past 24 hours, I have been assured by the mayor's office — not the mayor, but his representatives — that there will definitely be a more conciliatory, more formal and more proper chairmanship in the Speaker's chair," she said.