"[You] can't fight culture of racism by sticking out your tongue, crossing your arms and stamping your feet."
When journalist Dan Hodges questioned whether this was "really a serious response to these concerns", the Board replied: "Sorry folks.
"Obviously didn’t mean to upset anyone. It’s all very raw (and) Twitter (is) obviously not the best medium for a detailed response."
The original tweet was later deleted.
The line is actually a repeat of the words of Board President Marie van der Zyl, who wrote in the JC last week defending the invitation to Ms Rayner.
She wrote: "It is true that there are some in the community seem to have adopted the ‘grand strategy’ of calling Jeremy Corbyn names in the Jewish media, refusing to speak to him or anyone around him and ... well, that’s it, actually.
"They think you can fight a culture of racism by sticking out your tongue, crossing your arms and stamping your feet. That may sound cathartic, but it is unlikely to be an effective way of winning the argument."