The duo argued after Drescher brought her husband Reid to a "girls trip" in St Barth's.
Singer has now written in a blog for Us Weekly that Drescher "lost her mind" during the clash.
"I was quite speechless with Aviva's rage," she said. "We were all having the best time before she arrived and now this crazy, raving Aviva shows up."
Singer, who also criticised LuAnn de Lesseps and claimed that she "threw [her] under the bus", added: "What shocked me the most is when Aviva compared not being sorry for calling us white trash to the same as Rush Limbaugh calling a student a whore."
However, Singer teased that there will be more arguments in the future, saying: "Watch the next few weeks to see more Aviva rage. [This week's episode] was nothing compared to what's to come!"
De Lesseps recently denied cheating on her boyfriend during the trip to St Barth's.