Councillor Redman, who won September's by-election in the Kintyre and Islands ward after losing the same seat in May's local elections, was also reappointed to the administration as policy lead for economic growth, communities and corporate services.
Following local elections on May 5, The Argyll, Lomond and Islands Group (TALIG) - 10 Conservatives, five Liberal Democrats, and four independents - formed an administration with a majority of two.
The TALIG group faces 17 councillors in opposition - three independents, a councillor each from the Greens and Labour, and 12 SNP councillors, who form the largest single party group in the Kilmory Castle chamber.
In July, the council announced the death of John McAlpine, independent councillor for Kintyre and the Islands, and a member of the TALIG coalition.
It left the ruling coalition with a majority of one. The balance of power hung on the result of the Kintyre and the Islands by-election, held on September 29.
If its newly elected councillor joined the opposition group, both sides of the chamber would be tied with 18 members each, threatening TALIG's agenda.
Independent Alastair Redman gained 591 first preference votes, beating the SNP candidate Lachie Macquarie, who finished second place with 525 votes.
The former sub-postmaster from Islay was first elected as a Conservative councillor in 2017 and was appointed the policy lead for economic growth in 2019, and then, in October 2020, the policy lead for business, regeneration and commercial development.
But Councillor Redman resigned from that role in September 2021, following his expulsion from the Conservative party, and an investigation by Boundaries Scotland, the body responsible for reviewing the number of wards for local government elections.
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