Bracewell-Smith sold her shares to Kroenke last year, but remains an honorary vice-president, and she took to Twitter to criticise the American amid the doom and gloom surrounding the club. The Gunners' struggles reached a new low earlier in the week when League Two side Bradford City knocked them out of the Capital One Cup on penalties, denying them another chance to end a wait for a trophy that is now more than seven years.
"If making money was the motivating factor, surely there are better ways," she wrote.
"Football is a business of passion and SK has no passion for AFC. "(Kroenke) shows he cares very little. Why he wanted to be part of AFC I do not know."
She also admitted that, with hindsight, she would not have sold her shares to Kroenke, who also counts the NFL's St Louis Rams and Major League Soccer franchise Colorado Rapids among his other sporting ventures.