Kim Ng
After the Miami Marlins attempted to hire someone above general manager Kim Ng, despite Ng leading the team to only their fourth playoff appearance in franchise history, the Red Sox saw an opportunity to make her their first female GM in the club's history. However, she turned down an invitation to interview with Boston almost as quickly as it was offered.
This is a recurring trend in the Red Sox's search, which has left names so scattered across the internet that it's becoming increasingly hard to catch up. Ng hasn't made her reasons for refusing the invitation public, but her rejection to participate in the process at all makes her one of the most high profile executives to opt out.
Derek Falvey
Though attentions have since turned to (and left) Thad Levine, Minnesota GM Derek Falvey's number two in the Twins organization, Falvey declined to interview with the Red Sox in 2019, following Dave Dombrowski's departure and prior to Bloom's hiring. It paid off for Falvey; the Twins glided into first place in the AL Central and had a promising postseason appearance this year. He also managed to sign and retain shortstop Carlos Correa, despite last year's offseason worries about his ankle, and develop the Twins' 2023 postseason breakout Royce Lewis.