Taylor was selected in the original squad for the London 2012 Olympics but was left out of GB’s women’s eight and retired after the Games.
The team, coached by Thompson, won three gold medals.
Thompson, who joined British Rowing in 2001, was awarded an MBE following the team’s success at the London Games and will again lead the medal hunt at Rio 2016.
Taylor added: “He is fantastic technically, but in terms of people-management, his skills are non-existent.”
Thompson has also faced criticism by Olympic medallist Rick Egington, the boyfriend of rower Vicky Thornley. Thornley is the double sculls partner of Katherine Grainger, who is seeking a place at her fifth Olympic Games, but the pair missed out on initial selection for the team.
Egington said, external the pair had been “mismanaged” by Thompson, and accused the coach of causing “unnecessary stress to his top athlete”.
It also follows bullying claims similarly made within British Cycling.
British Cycling is currently conducting a review – chaired by British Rowing chief Annamarie Phelps – to uncover whether there are “fundamental behavioural issues” in its World Class Programme.
The review, co-commissioned by UK Sport, comes after British Cycling’s technical director Shane Sutton quit amid sexism and discrimination claims.
Rider Jess Varnish previously claimed Sutton had made sexist comments, which the Australian denied.